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Finding the Fourth Proportional to 11,243.29, 15,515.06 and 6,207.38

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Solution

The fourth proportional to 11,243.29, 15,515.06 and 6,207.38 is: 8,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,243.29 : 15,515.06 = 6,207.38 : x
  2. Step 2: Convert to fraction form
    11,243.29/15,515.06 = 6,207.38/x
  3. Step 3: Cross multiply
    11,243.29x = 15,515.06 × 6,207.38
  4. Step 4: Simplify right side
    11,243.29x = 96,307,927.45
  5. Step 5: Solve for x
    x = 96,307,927.45/11,243.29
  6. Step 6: Final answer
    x = 8,565.82

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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.