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Finding the Fourth Proportional to 11,488.80, 15,864.40 and 11,117.28

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Solution

The fourth proportional to 11,488.80, 15,864.40 and 11,117.28 is: 15,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.80 : 15,864.40 = 11,117.28 : x
  2. Step 2: Convert to fraction form
    11,488.80/15,864.40 = 11,117.28/x
  3. Step 3: Cross multiply
    11,488.80x = 15,864.40 × 11,117.28
  4. Step 4: Simplify right side
    11,488.80x = 176,368,976.83
  5. Step 5: Solve for x
    x = 176,368,976.83/11,488.80
  6. Step 6: Final answer
    x = 15,351.38

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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.