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Finding the Fourth Proportional to 8,833.40, 13,248.50 and 5,142.86

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Solution

The fourth proportional to 8,833.40, 13,248.50 and 5,142.86 is: 7,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.40 : 13,248.50 = 5,142.86 : x
  2. Step 2: Convert to fraction form
    8,833.40/13,248.50 = 5,142.86/x
  3. Step 3: Cross multiply
    8,833.40x = 13,248.50 × 5,142.86
  4. Step 4: Simplify right side
    8,833.40x = 68,135,180.71
  5. Step 5: Solve for x
    x = 68,135,180.71/8,833.40
  6. Step 6: Final answer
    x = 7,713.36

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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.