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Finding the Fourth Proportional to 8,925.68, 13,378.68 and 5,640.24

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Solution

The fourth proportional to 8,925.68, 13,378.68 and 5,640.24 is: 8,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,925.68 : 13,378.68 = 5,640.24 : x
  2. Step 2: Convert to fraction form
    8,925.68/13,378.68 = 5,640.24/x
  3. Step 3: Cross multiply
    8,925.68x = 13,378.68 × 5,640.24
  4. Step 4: Simplify right side
    8,925.68x = 75,458,966.08
  5. Step 5: Solve for x
    x = 75,458,966.08/8,925.68
  6. Step 6: Final answer
    x = 8,454.14

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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.