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Finding the Fourth Proportional to 7,157.57, 10,737.05 and 1,892.61

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Solution

The fourth proportional to 7,157.57, 10,737.05 and 1,892.61 is: 2,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.57 : 10,737.05 = 1,892.61 : x
  2. Step 2: Convert to fraction form
    7,157.57/10,737.05 = 1,892.61/x
  3. Step 3: Cross multiply
    7,157.57x = 10,737.05 × 1,892.61
  4. Step 4: Simplify right side
    7,157.57x = 20,321,038.74
  5. Step 5: Solve for x
    x = 20,321,038.74/7,157.57
  6. Step 6: Final answer
    x = 2,839.10

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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.