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Finding the Fourth Proportional to 10,040.26, 13,854.92 and 5,897.52

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Solution

The fourth proportional to 10,040.26, 13,854.92 and 5,897.52 is: 8,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.26 : 13,854.92 = 5,897.52 : x
  2. Step 2: Convert to fraction form
    10,040.26/13,854.92 = 5,897.52/x
  3. Step 3: Cross multiply
    10,040.26x = 13,854.92 × 5,897.52
  4. Step 4: Simplify right side
    10,040.26x = 81,709,667.80
  5. Step 5: Solve for x
    x = 81,709,667.80/10,040.26
  6. Step 6: Final answer
    x = 8,138.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.