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Finding the Fourth Proportional to 6,715.72, 10,024.29 and 6,220.91

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Solution

The fourth proportional to 6,715.72, 10,024.29 and 6,220.91 is: 9,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.72 : 10,024.29 = 6,220.91 : x
  2. Step 2: Convert to fraction form
    6,715.72/10,024.29 = 6,220.91/x
  3. Step 3: Cross multiply
    6,715.72x = 10,024.29 × 6,220.91
  4. Step 4: Simplify right side
    6,715.72x = 62,360,205.90
  5. Step 5: Solve for x
    x = 62,360,205.90/6,715.72
  6. Step 6: Final answer
    x = 9,285.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.