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Finding the Fourth Proportional to 11,437.82, 17,144.42 and 7,476.61

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Solution

The fourth proportional to 11,437.82, 17,144.42 and 7,476.61 is: 11,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.82 : 17,144.42 = 7,476.61 : x
  2. Step 2: Convert to fraction form
    11,437.82/17,144.42 = 7,476.61/x
  3. Step 3: Cross multiply
    11,437.82x = 17,144.42 × 7,476.61
  4. Step 4: Simplify right side
    11,437.82x = 128,182,061.77
  5. Step 5: Solve for x
    x = 128,182,061.77/11,437.82
  6. Step 6: Final answer
    x = 11,206.87

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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.