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Finding the Fourth Proportional to 8,715.72, 12,023.92 and 5,884.92

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Solution

The fourth proportional to 8,715.72, 12,023.92 and 5,884.92 is: 8,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.72 : 12,023.92 = 5,884.92 : x
  2. Step 2: Convert to fraction form
    8,715.72/12,023.92 = 5,884.92/x
  3. Step 3: Cross multiply
    8,715.72x = 12,023.92 × 5,884.92
  4. Step 4: Simplify right side
    8,715.72x = 70,759,807.29
  5. Step 5: Solve for x
    x = 70,759,807.29/8,715.72
  6. Step 6: Final answer
    x = 8,118.64

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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.