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Finding the Fourth Proportional to 11,145.70, 15,381.10 and 6,109.90

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Solution

The fourth proportional to 11,145.70, 15,381.10 and 6,109.90 is: 8,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.70 : 15,381.10 = 6,109.90 : x
  2. Step 2: Convert to fraction form
    11,145.70/15,381.10 = 6,109.90/x
  3. Step 3: Cross multiply
    11,145.70x = 15,381.10 × 6,109.90
  4. Step 4: Simplify right side
    11,145.70x = 93,976,982.89
  5. Step 5: Solve for x
    x = 93,976,982.89/11,145.70
  6. Step 6: Final answer
    x = 8,431.68

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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.