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Finding the Fourth Proportional to 10,572.66, 15,856.16 and 3,175.47

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Solution

The fourth proportional to 10,572.66, 15,856.16 and 3,175.47 is: 4,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.66 : 15,856.16 = 3,175.47 : x
  2. Step 2: Convert to fraction form
    10,572.66/15,856.16 = 3,175.47/x
  3. Step 3: Cross multiply
    10,572.66x = 15,856.16 × 3,175.47
  4. Step 4: Simplify right side
    10,572.66x = 50,350,744.52
  5. Step 5: Solve for x
    x = 50,350,744.52/10,572.66
  6. Step 6: Final answer
    x = 4,762.35

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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.