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Finding the Fourth Proportional to 10,454.72, 15,672.50 and 4,527.90

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Solution

The fourth proportional to 10,454.72, 15,672.50 and 4,527.90 is: 6,787.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.72 : 15,672.50 = 4,527.90 : x
  2. Step 2: Convert to fraction form
    10,454.72/15,672.50 = 4,527.90/x
  3. Step 3: Cross multiply
    10,454.72x = 15,672.50 × 4,527.90
  4. Step 4: Simplify right side
    10,454.72x = 70,963,512.75
  5. Step 5: Solve for x
    x = 70,963,512.75/10,454.72
  6. Step 6: Final answer
    x = 6,787.70

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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.