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Finding the Fourth Proportional to 8,513.76, 12,772.72 and 5,006.02

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Solution

The fourth proportional to 8,513.76, 12,772.72 and 5,006.02 is: 7,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.76 : 12,772.72 = 5,006.02 : x
  2. Step 2: Convert to fraction form
    8,513.76/12,772.72 = 5,006.02/x
  3. Step 3: Cross multiply
    8,513.76x = 12,772.72 × 5,006.02
  4. Step 4: Simplify right side
    8,513.76x = 63,940,491.77
  5. Step 5: Solve for x
    x = 63,940,491.77/8,513.76
  6. Step 6: Final answer
    x = 7,510.25

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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.