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Finding the Fourth Proportional to 10,914.75, 15,061.65 and 6,438.29

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Solution

The fourth proportional to 10,914.75, 15,061.65 and 6,438.29 is: 8,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.75 : 15,061.65 = 6,438.29 : x
  2. Step 2: Convert to fraction form
    10,914.75/15,061.65 = 6,438.29/x
  3. Step 3: Cross multiply
    10,914.75x = 15,061.65 × 6,438.29
  4. Step 4: Simplify right side
    10,914.75x = 96,971,171.13
  5. Step 5: Solve for x
    x = 96,971,171.13/10,914.75
  6. Step 6: Final answer
    x = 8,884.42

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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.