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Finding the Fourth Proportional to 8,697.72, 12,983.64 and 7,646.79

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Solution

The fourth proportional to 8,697.72, 12,983.64 and 7,646.79 is: 11,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.72 : 12,983.64 = 7,646.79 : x
  2. Step 2: Convert to fraction form
    8,697.72/12,983.64 = 7,646.79/x
  3. Step 3: Cross multiply
    8,697.72x = 12,983.64 × 7,646.79
  4. Step 4: Simplify right side
    8,697.72x = 99,283,168.52
  5. Step 5: Solve for x
    x = 99,283,168.52/8,697.72
  6. Step 6: Final answer
    x = 11,414.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.