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Finding the Fourth Proportional to 10,646.58, 14,691.99 and 5,930.76

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Solution

The fourth proportional to 10,646.58, 14,691.99 and 5,930.76 is: 8,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.58 : 14,691.99 = 5,930.76 : x
  2. Step 2: Convert to fraction form
    10,646.58/14,691.99 = 5,930.76/x
  3. Step 3: Cross multiply
    10,646.58x = 14,691.99 × 5,930.76
  4. Step 4: Simplify right side
    10,646.58x = 87,134,666.61
  5. Step 5: Solve for x
    x = 87,134,666.61/10,646.58
  6. Step 6: Final answer
    x = 8,184.29

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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.