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Finding the Fourth Proportional to 10,518.69, 14,520.56 and 6,691.90

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Solution

The fourth proportional to 10,518.69, 14,520.56 and 6,691.90 is: 9,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.69 : 14,520.56 = 6,691.90 : x
  2. Step 2: Convert to fraction form
    10,518.69/14,520.56 = 6,691.90/x
  3. Step 3: Cross multiply
    10,518.69x = 14,520.56 × 6,691.90
  4. Step 4: Simplify right side
    10,518.69x = 97,170,135.46
  5. Step 5: Solve for x
    x = 97,170,135.46/10,518.69
  6. Step 6: Final answer
    x = 9,237.86

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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.