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Finding the Fourth Proportional to 7,572.76, 10,446.72 and 6,523

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Solution

The fourth proportional to 7,572.76, 10,446.72 and 6,523 is: 8,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.76 : 10,446.72 = 6,523 : x
  2. Step 2: Convert to fraction form
    7,572.76/10,446.72 = 6,523/x
  3. Step 3: Cross multiply
    7,572.76x = 10,446.72 × 6,523
  4. Step 4: Simplify right side
    7,572.76x = 68,143,954.56
  5. Step 5: Solve for x
    x = 68,143,954.56/7,572.76
  6. Step 6: Final answer
    x = 8,998.56

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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.