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Finding the Fourth Proportional to 11,287.52, 15,562.32 and 8,765.36

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Solution

The fourth proportional to 11,287.52, 15,562.32 and 8,765.36 is: 12,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.52 : 15,562.32 = 8,765.36 : x
  2. Step 2: Convert to fraction form
    11,287.52/15,562.32 = 8,765.36/x
  3. Step 3: Cross multiply
    11,287.52x = 15,562.32 × 8,765.36
  4. Step 4: Simplify right side
    11,287.52x = 136,409,337.24
  5. Step 5: Solve for x
    x = 136,409,337.24/11,287.52
  6. Step 6: Final answer
    x = 12,084.97

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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.