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Finding the Fourth Proportional to 10,193.72, 15,294.42 and 6,937.52

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Solution

The fourth proportional to 10,193.72, 15,294.42 and 6,937.52 is: 10,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.72 : 15,294.42 = 6,937.52 : x
  2. Step 2: Convert to fraction form
    10,193.72/15,294.42 = 6,937.52/x
  3. Step 3: Cross multiply
    10,193.72x = 15,294.42 × 6,937.52
  4. Step 4: Simplify right side
    10,193.72x = 106,105,268.17
  5. Step 5: Solve for x
    x = 106,105,268.17/10,193.72
  6. Step 6: Final answer
    x = 10,408.89

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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.