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Finding the Fourth Proportional to 7,787.50, 10,746.68 and 4,250.62

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Solution

The fourth proportional to 7,787.50, 10,746.68 and 4,250.62 is: 5,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.50 : 10,746.68 = 4,250.62 : x
  2. Step 2: Convert to fraction form
    7,787.50/10,746.68 = 4,250.62/x
  3. Step 3: Cross multiply
    7,787.50x = 10,746.68 × 4,250.62
  4. Step 4: Simplify right side
    7,787.50x = 45,680,052.94
  5. Step 5: Solve for x
    x = 45,680,052.94/7,787.50
  6. Step 6: Final answer
    x = 5,865.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.