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Finding the Fourth Proportional to 10,046.25, 15,054.94 and 5,654.43

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Solution

The fourth proportional to 10,046.25, 15,054.94 and 5,654.43 is: 8,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.25 : 15,054.94 = 5,654.43 : x
  2. Step 2: Convert to fraction form
    10,046.25/15,054.94 = 5,654.43/x
  3. Step 3: Cross multiply
    10,046.25x = 15,054.94 × 5,654.43
  4. Step 4: Simplify right side
    10,046.25x = 85,127,104.38
  5. Step 5: Solve for x
    x = 85,127,104.38/10,046.25
  6. Step 6: Final answer
    x = 8,473.52

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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.