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Finding the Fourth Proportional to 11,419.26, 15,754.14 and 7,168.59

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Solution

The fourth proportional to 11,419.26, 15,754.14 and 7,168.59 is: 9,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.26 : 15,754.14 = 7,168.59 : x
  2. Step 2: Convert to fraction form
    11,419.26/15,754.14 = 7,168.59/x
  3. Step 3: Cross multiply
    11,419.26x = 15,754.14 × 7,168.59
  4. Step 4: Simplify right side
    11,419.26x = 112,934,970.46
  5. Step 5: Solve for x
    x = 112,934,970.46/11,419.26
  6. Step 6: Final answer
    x = 9,889.87

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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.