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Finding the Fourth Proportional to 10,177.68, 14,042.64 and 5,985.12

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Solution

The fourth proportional to 10,177.68, 14,042.64 and 5,985.12 is: 8,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.68 : 14,042.64 = 5,985.12 : x
  2. Step 2: Convert to fraction form
    10,177.68/14,042.64 = 5,985.12/x
  3. Step 3: Cross multiply
    10,177.68x = 14,042.64 × 5,985.12
  4. Step 4: Simplify right side
    10,177.68x = 84,046,885.52
  5. Step 5: Solve for x
    x = 84,046,885.52/10,177.68
  6. Step 6: Final answer
    x = 8,257.96

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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.