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Finding the Fourth Proportional to 12,542.36, 17,307.44 and 6,877

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Solution

The fourth proportional to 12,542.36, 17,307.44 and 6,877 is: 9,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.36 : 17,307.44 = 6,877 : x
  2. Step 2: Convert to fraction form
    12,542.36/17,307.44 = 6,877/x
  3. Step 3: Cross multiply
    12,542.36x = 17,307.44 × 6,877
  4. Step 4: Simplify right side
    12,542.36x = 119,023,264.88
  5. Step 5: Solve for x
    x = 119,023,264.88/12,542.36
  6. Step 6: Final answer
    x = 9,489.70

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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.