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Finding the Fourth Proportional to 10,468.08, 15,707.50 and 5,787.22

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Solution

The fourth proportional to 10,468.08, 15,707.50 and 5,787.22 is: 8,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.08 : 15,707.50 = 5,787.22 : x
  2. Step 2: Convert to fraction form
    10,468.08/15,707.50 = 5,787.22/x
  3. Step 3: Cross multiply
    10,468.08x = 15,707.50 × 5,787.22
  4. Step 4: Simplify right side
    10,468.08x = 90,902,758.15
  5. Step 5: Solve for x
    x = 90,902,758.15/10,468.08
  6. Step 6: Final answer
    x = 8,683.80

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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.