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Finding the Fourth Proportional to 10,646.02, 14,691.97 and 5,930.31

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Solution

The fourth proportional to 10,646.02, 14,691.97 and 5,930.31 is: 8,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.02 : 14,691.97 = 5,930.31 : x
  2. Step 2: Convert to fraction form
    10,646.02/14,691.97 = 5,930.31/x
  3. Step 3: Cross multiply
    10,646.02x = 14,691.97 × 5,930.31
  4. Step 4: Simplify right side
    10,646.02x = 87,127,936.61
  5. Step 5: Solve for x
    x = 87,127,936.61/10,646.02
  6. Step 6: Final answer
    x = 8,184.09

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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.