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Finding the Fourth Proportional to 10,472.40, 15,695.24 and 4,913.47

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Solution

The fourth proportional to 10,472.40, 15,695.24 and 4,913.47 is: 7,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.40 : 15,695.24 = 4,913.47 : x
  2. Step 2: Convert to fraction form
    10,472.40/15,695.24 = 4,913.47/x
  3. Step 3: Cross multiply
    10,472.40x = 15,695.24 × 4,913.47
  4. Step 4: Simplify right side
    10,472.40x = 77,118,085.93
  5. Step 5: Solve for x
    x = 77,118,085.93/10,472.40
  6. Step 6: Final answer
    x = 7,363.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.