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Finding the Fourth Proportional to 12,538.57, 18,807.97 and 5,140.13

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Solution

The fourth proportional to 12,538.57, 18,807.97 and 5,140.13 is: 7,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.57 : 18,807.97 = 5,140.13 : x
  2. Step 2: Convert to fraction form
    12,538.57/18,807.97 = 5,140.13/x
  3. Step 3: Cross multiply
    12,538.57x = 18,807.97 × 5,140.13
  4. Step 4: Simplify right side
    12,538.57x = 96,675,486.73
  5. Step 5: Solve for x
    x = 96,675,486.73/12,538.57
  6. Step 6: Final answer
    x = 7,710.25

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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.