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Finding the Fourth Proportional to 7,656,807.16, 10,566,308.14 and 4,349,078.20

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Solution

The fourth proportional to 7,656,807.16, 10,566,308.14 and 4,349,078.20 is: 6,001,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656,807.16 : 10,566,308.14 = 4,349,078.20 : x
  2. Step 2: Convert to fraction form
    7,656,807.16/10,566,308.14 = 4,349,078.20/x
  3. Step 3: Cross multiply
    7,656,807.16x = 10,566,308.14 × 4,349,078.20
  4. Step 4: Simplify right side
    7,656,807.16x = 45,953,700,386,156.55
  5. Step 5: Solve for x
    x = 45,953,700,386,156.55/7,656,807.16
  6. Step 6: Final answer
    x = 6,001,679.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.