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Finding the Fourth Proportional to 11,491.79, 15,865.31 and 7,519.82

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Solution

The fourth proportional to 11,491.79, 15,865.31 and 7,519.82 is: 10,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.79 : 15,865.31 = 7,519.82 : x
  2. Step 2: Convert to fraction form
    11,491.79/15,865.31 = 7,519.82/x
  3. Step 3: Cross multiply
    11,491.79x = 15,865.31 × 7,519.82
  4. Step 4: Simplify right side
    11,491.79x = 119,304,158.52
  5. Step 5: Solve for x
    x = 119,304,158.52/11,491.79
  6. Step 6: Final answer
    x = 10,381.69

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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.