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Finding the Fourth Proportional to 10,407.72, 15,597.54 and 5,217.24

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Solution

The fourth proportional to 10,407.72, 15,597.54 and 5,217.24 is: 7,818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.72 : 15,597.54 = 5,217.24 : x
  2. Step 2: Convert to fraction form
    10,407.72/15,597.54 = 5,217.24/x
  3. Step 3: Cross multiply
    10,407.72x = 15,597.54 × 5,217.24
  4. Step 4: Simplify right side
    10,407.72x = 81,376,109.59
  5. Step 5: Solve for x
    x = 81,376,109.59/10,407.72
  6. Step 6: Final answer
    x = 7,818.82

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