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Finding the Fourth Proportional to 7,794.18, 10,748.28 and 4,809.38

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Solution

The fourth proportional to 7,794.18, 10,748.28 and 4,809.38 is: 6,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.18 : 10,748.28 = 4,809.38 : x
  2. Step 2: Convert to fraction form
    7,794.18/10,748.28 = 4,809.38/x
  3. Step 3: Cross multiply
    7,794.18x = 10,748.28 × 4,809.38
  4. Step 4: Simplify right side
    7,794.18x = 51,692,587.62
  5. Step 5: Solve for x
    x = 51,692,587.62/7,794.18
  6. Step 6: Final answer
    x = 6,632.20

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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.