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Finding the Fourth Proportional to 11,469.56, 15,831.36 and 7,491.24

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Solution

The fourth proportional to 11,469.56, 15,831.36 and 7,491.24 is: 10,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.56 : 15,831.36 = 7,491.24 : x
  2. Step 2: Convert to fraction form
    11,469.56/15,831.36 = 7,491.24/x
  3. Step 3: Cross multiply
    11,469.56x = 15,831.36 × 7,491.24
  4. Step 4: Simplify right side
    11,469.56x = 118,596,517.29
  5. Step 5: Solve for x
    x = 118,596,517.29/11,469.56
  6. Step 6: Final answer
    x = 10,340.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.