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Finding the Fourth Proportional to 7,854.04, 10,839.19 and 4,497.91

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Solution

The fourth proportional to 7,854.04, 10,839.19 and 4,497.91 is: 6,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.04 : 10,839.19 = 4,497.91 : x
  2. Step 2: Convert to fraction form
    7,854.04/10,839.19 = 4,497.91/x
  3. Step 3: Cross multiply
    7,854.04x = 10,839.19 × 4,497.91
  4. Step 4: Simplify right side
    7,854.04x = 48,753,646.90
  5. Step 5: Solve for x
    x = 48,753,646.90/7,854.04
  6. Step 6: Final answer
    x = 6,207.46

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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.