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Finding the Fourth Proportional to 8,732.24, 12,050.28 and 5,006

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Solution

The fourth proportional to 8,732.24, 12,050.28 and 5,006 is: 6,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.24 : 12,050.28 = 5,006 : x
  2. Step 2: Convert to fraction form
    8,732.24/12,050.28 = 5,006/x
  3. Step 3: Cross multiply
    8,732.24x = 12,050.28 × 5,006
  4. Step 4: Simplify right side
    8,732.24x = 60,323,701.68
  5. Step 5: Solve for x
    x = 60,323,701.68/8,732.24
  6. Step 6: Final answer
    x = 6,908.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.