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Finding the Fourth Proportional to 10,085.52, 15,122.11 and 4,160.57

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Solution

The fourth proportional to 10,085.52, 15,122.11 and 4,160.57 is: 6,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.52 : 15,122.11 = 4,160.57 : x
  2. Step 2: Convert to fraction form
    10,085.52/15,122.11 = 4,160.57/x
  3. Step 3: Cross multiply
    10,085.52x = 15,122.11 × 4,160.57
  4. Step 4: Simplify right side
    10,085.52x = 62,916,604.05
  5. Step 5: Solve for x
    x = 62,916,604.05/10,085.52
  6. Step 6: Final answer
    x = 6,238.31

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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.