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Finding the Fourth Proportional to 10,045.42, 13,854.24 and 6,460.97

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Solution

The fourth proportional to 10,045.42, 13,854.24 and 6,460.97 is: 8,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.42 : 13,854.24 = 6,460.97 : x
  2. Step 2: Convert to fraction form
    10,045.42/13,854.24 = 6,460.97/x
  3. Step 3: Cross multiply
    10,045.42x = 13,854.24 × 6,460.97
  4. Step 4: Simplify right side
    10,045.42x = 89,511,759.74
  5. Step 5: Solve for x
    x = 89,511,759.74/10,045.42
  6. Step 6: Final answer
    x = 8,910.71

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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.