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Finding the Fourth Proportional to 7,160.79, 10,732.98 and 2,774.49

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Solution

The fourth proportional to 7,160.79, 10,732.98 and 2,774.49 is: 4,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.79 : 10,732.98 = 2,774.49 : x
  2. Step 2: Convert to fraction form
    7,160.79/10,732.98 = 2,774.49/x
  3. Step 3: Cross multiply
    7,160.79x = 10,732.98 × 2,774.49
  4. Step 4: Simplify right side
    7,160.79x = 29,778,545.68
  5. Step 5: Solve for x
    x = 29,778,545.68/7,160.79
  6. Step 6: Final answer
    x = 4,158.56

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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.