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Finding the Fourth Proportional to 7,102.68, 10,641.78 and 6,381.24

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Solution

The fourth proportional to 7,102.68, 10,641.78 and 6,381.24 is: 9,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.68 : 10,641.78 = 6,381.24 : x
  2. Step 2: Convert to fraction form
    7,102.68/10,641.78 = 6,381.24/x
  3. Step 3: Cross multiply
    7,102.68x = 10,641.78 × 6,381.24
  4. Step 4: Simplify right side
    7,102.68x = 67,907,752.21
  5. Step 5: Solve for x
    x = 67,907,752.21/7,102.68
  6. Step 6: Final answer
    x = 9,560.86

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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.