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Finding the Fourth Proportional to 10,566.18, 14,581.62 and 6,372

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Solution

The fourth proportional to 10,566.18, 14,581.62 and 6,372 is: 8,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.18 : 14,581.62 = 6,372 : x
  2. Step 2: Convert to fraction form
    10,566.18/14,581.62 = 6,372/x
  3. Step 3: Cross multiply
    10,566.18x = 14,581.62 × 6,372
  4. Step 4: Simplify right side
    10,566.18x = 92,914,082.64
  5. Step 5: Solve for x
    x = 92,914,082.64/10,566.18
  6. Step 6: Final answer
    x = 8,793.54

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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.