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Finding the Fourth Proportional to 11,689.39, 17,538.18 and 7,301.71

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Solution

The fourth proportional to 11,689.39, 17,538.18 and 7,301.71 is: 10,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.39 : 17,538.18 = 7,301.71 : x
  2. Step 2: Convert to fraction form
    11,689.39/17,538.18 = 7,301.71/x
  3. Step 3: Cross multiply
    11,689.39x = 17,538.18 × 7,301.71
  4. Step 4: Simplify right side
    11,689.39x = 128,058,704.29
  5. Step 5: Solve for x
    x = 128,058,704.29/11,689.39
  6. Step 6: Final answer
    x = 10,955.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.