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Finding the Fourth Proportional to 11,095.38, 15,306.66 and 7,509.24

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Solution

The fourth proportional to 11,095.38, 15,306.66 and 7,509.24 is: 10,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,095.38 : 15,306.66 = 7,509.24 : x
  2. Step 2: Convert to fraction form
    11,095.38/15,306.66 = 7,509.24/x
  3. Step 3: Cross multiply
    11,095.38x = 15,306.66 × 7,509.24
  4. Step 4: Simplify right side
    11,095.38x = 114,941,383.54
  5. Step 5: Solve for x
    x = 114,941,383.54/11,095.38
  6. Step 6: Final answer
    x = 10,359.39

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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.