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Finding the Fourth Proportional to 10,360.68, 14,306.18 and 8,446.82

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Solution

The fourth proportional to 10,360.68, 14,306.18 and 8,446.82 is: 11,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360.68 : 14,306.18 = 8,446.82 : x
  2. Step 2: Convert to fraction form
    10,360.68/14,306.18 = 8,446.82/x
  3. Step 3: Cross multiply
    10,360.68x = 14,306.18 × 8,446.82
  4. Step 4: Simplify right side
    10,360.68x = 120,841,613.58
  5. Step 5: Solve for x
    x = 120,841,613.58/10,360.68
  6. Step 6: Final answer
    x = 11,663.48

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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.