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Finding the Fourth Proportional to 10,027.53, 15,042.42 and 5,653.53

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Solution

The fourth proportional to 10,027.53, 15,042.42 and 5,653.53 is: 8,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.53 : 15,042.42 = 5,653.53 : x
  2. Step 2: Convert to fraction form
    10,027.53/15,042.42 = 5,653.53/x
  3. Step 3: Cross multiply
    10,027.53x = 15,042.42 × 5,653.53
  4. Step 4: Simplify right side
    10,027.53x = 85,042,772.74
  5. Step 5: Solve for x
    x = 85,042,772.74/10,027.53
  6. Step 6: Final answer
    x = 8,480.93

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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.