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Finding the Fourth Proportional to 8,732.16, 13,102.29 and 7,107.30

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Solution

The fourth proportional to 8,732.16, 13,102.29 and 7,107.30 is: 10,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.16 : 13,102.29 = 7,107.30 : x
  2. Step 2: Convert to fraction form
    8,732.16/13,102.29 = 7,107.30/x
  3. Step 3: Cross multiply
    8,732.16x = 13,102.29 × 7,107.30
  4. Step 4: Simplify right side
    8,732.16x = 93,121,905.72
  5. Step 5: Solve for x
    x = 93,121,905.72/8,732.16
  6. Step 6: Final answer
    x = 10,664.25

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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.