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Finding the Fourth Proportional to 12,937.87, 19,406.80 and 5,537.53

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Solution

The fourth proportional to 12,937.87, 19,406.80 and 5,537.53 is: 8,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.87 : 19,406.80 = 5,537.53 : x
  2. Step 2: Convert to fraction form
    12,937.87/19,406.80 = 5,537.53/x
  3. Step 3: Cross multiply
    12,937.87x = 19,406.80 × 5,537.53
  4. Step 4: Simplify right side
    12,937.87x = 107,465,612.48
  5. Step 5: Solve for x
    x = 107,465,612.48/12,937.87
  6. Step 6: Final answer
    x = 8,306.29

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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.