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Finding the Fourth Proportional to 11,151.81, 15,350.87 and 9,638.68

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Solution

The fourth proportional to 11,151.81, 15,350.87 and 9,638.68 is: 13,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.81 : 15,350.87 = 9,638.68 : x
  2. Step 2: Convert to fraction form
    11,151.81/15,350.87 = 9,638.68/x
  3. Step 3: Cross multiply
    11,151.81x = 15,350.87 × 9,638.68
  4. Step 4: Simplify right side
    11,151.81x = 147,961,998.70
  5. Step 5: Solve for x
    x = 147,961,998.70/11,151.81
  6. Step 6: Final answer
    x = 13,267.98

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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.