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Finding the Fourth Proportional to 8,701.40, 12,002.64 and 5,163.86

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Solution

The fourth proportional to 8,701.40, 12,002.64 and 5,163.86 is: 7,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,701.40 : 12,002.64 = 5,163.86 : x
  2. Step 2: Convert to fraction form
    8,701.40/12,002.64 = 5,163.86/x
  3. Step 3: Cross multiply
    8,701.40x = 12,002.64 × 5,163.86
  4. Step 4: Simplify right side
    8,701.40x = 61,979,952.59
  5. Step 5: Solve for x
    x = 61,979,952.59/8,701.40
  6. Step 6: Final answer
    x = 7,122.99

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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.