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Finding the Fourth Proportional to 8,715.68, 12,023.64 and 5,176.88

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Solution

The fourth proportional to 8,715.68, 12,023.64 and 5,176.88 is: 7,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.68 : 12,023.64 = 5,176.88 : x
  2. Step 2: Convert to fraction form
    8,715.68/12,023.64 = 5,176.88/x
  3. Step 3: Cross multiply
    8,715.68x = 12,023.64 × 5,176.88
  4. Step 4: Simplify right side
    8,715.68x = 62,244,941.44
  5. Step 5: Solve for x
    x = 62,244,941.44/8,715.68
  6. Step 6: Final answer
    x = 7,141.72

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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.