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Finding the Fourth Proportional to 11,509.27, 15,888.14 and 8,677.79

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Solution

The fourth proportional to 11,509.27, 15,888.14 and 8,677.79 is: 11,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.27 : 15,888.14 = 8,677.79 : x
  2. Step 2: Convert to fraction form
    11,509.27/15,888.14 = 8,677.79/x
  3. Step 3: Cross multiply
    11,509.27x = 15,888.14 × 8,677.79
  4. Step 4: Simplify right side
    11,509.27x = 137,873,942.41
  5. Step 5: Solve for x
    x = 137,873,942.41/11,509.27
  6. Step 6: Final answer
    x = 11,979.38

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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.