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Finding the Fourth Proportional to 11,396.97, 15,725.29 and 6,614.14

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Solution

The fourth proportional to 11,396.97, 15,725.29 and 6,614.14 is: 9,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.97 : 15,725.29 = 6,614.14 : x
  2. Step 2: Convert to fraction form
    11,396.97/15,725.29 = 6,614.14/x
  3. Step 3: Cross multiply
    11,396.97x = 15,725.29 × 6,614.14
  4. Step 4: Simplify right side
    11,396.97x = 104,009,269.60
  5. Step 5: Solve for x
    x = 104,009,269.60/11,396.97
  6. Step 6: Final answer
    x = 9,126.05

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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.