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Finding the Fourth Proportional to 11,509.38, 15,881.76 and 7,034.22

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Solution

The fourth proportional to 11,509.38, 15,881.76 and 7,034.22 is: 9,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.38 : 15,881.76 = 7,034.22 : x
  2. Step 2: Convert to fraction form
    11,509.38/15,881.76 = 7,034.22/x
  3. Step 3: Cross multiply
    11,509.38x = 15,881.76 × 7,034.22
  4. Step 4: Simplify right side
    11,509.38x = 111,715,793.83
  5. Step 5: Solve for x
    x = 111,715,793.83/11,509.38
  6. Step 6: Final answer
    x = 9,706.50

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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.