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Finding the Fourth Proportional to 10,381.57, 15,565.52 and 4,137.68

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Solution

The fourth proportional to 10,381.57, 15,565.52 and 4,137.68 is: 6,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.57 : 15,565.52 = 4,137.68 : x
  2. Step 2: Convert to fraction form
    10,381.57/15,565.52 = 4,137.68/x
  3. Step 3: Cross multiply
    10,381.57x = 15,565.52 × 4,137.68
  4. Step 4: Simplify right side
    10,381.57x = 64,405,166.78
  5. Step 5: Solve for x
    x = 64,405,166.78/10,381.57
  6. Step 6: Final answer
    x = 6,203.80

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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.