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Finding the Fourth Proportional to 11,463.76, 15,826.89 and 7,491.52

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Solution

The fourth proportional to 11,463.76, 15,826.89 and 7,491.52 is: 10,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.76 : 15,826.89 = 7,491.52 : x
  2. Step 2: Convert to fraction form
    11,463.76/15,826.89 = 7,491.52/x
  3. Step 3: Cross multiply
    11,463.76x = 15,826.89 × 7,491.52
  4. Step 4: Simplify right side
    11,463.76x = 118,567,462.97
  5. Step 5: Solve for x
    x = 118,567,462.97/11,463.76
  6. Step 6: Final answer
    x = 10,342.81

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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.