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Finding the Fourth Proportional to 7,338.46, 10,997.20 and 5,666.76

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Solution

The fourth proportional to 7,338.46, 10,997.20 and 5,666.76 is: 8,492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.46 : 10,997.20 = 5,666.76 : x
  2. Step 2: Convert to fraction form
    7,338.46/10,997.20 = 5,666.76/x
  3. Step 3: Cross multiply
    7,338.46x = 10,997.20 × 5,666.76
  4. Step 4: Simplify right side
    7,338.46x = 62,318,493.07
  5. Step 5: Solve for x
    x = 62,318,493.07/7,338.46
  6. Step 6: Final answer
    x = 8,492.04

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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.