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Finding the Fourth Proportional to 11,487.27, 15,851.55 and 6,449.88

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Solution

The fourth proportional to 11,487.27, 15,851.55 and 6,449.88 is: 8,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.27 : 15,851.55 = 6,449.88 : x
  2. Step 2: Convert to fraction form
    11,487.27/15,851.55 = 6,449.88/x
  3. Step 3: Cross multiply
    11,487.27x = 15,851.55 × 6,449.88
  4. Step 4: Simplify right side
    11,487.27x = 102,240,595.31
  5. Step 5: Solve for x
    x = 102,240,595.31/11,487.27
  6. Step 6: Final answer
    x = 8,900.34

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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.