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Finding the Fourth Proportional to 11,417.88, 17,125.71 and 7,743.72

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Solution

The fourth proportional to 11,417.88, 17,125.71 and 7,743.72 is: 11,614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.88 : 17,125.71 = 7,743.72 : x
  2. Step 2: Convert to fraction form
    11,417.88/17,125.71 = 7,743.72/x
  3. Step 3: Cross multiply
    11,417.88x = 17,125.71 × 7,743.72
  4. Step 4: Simplify right side
    11,417.88x = 132,616,703.04
  5. Step 5: Solve for x
    x = 132,616,703.04/11,417.88
  6. Step 6: Final answer
    x = 11,614.83

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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.