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Finding the Fourth Proportional to 11,115.77, 15,339.04 and 6,401.57

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Solution

The fourth proportional to 11,115.77, 15,339.04 and 6,401.57 is: 8,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,115.77 : 15,339.04 = 6,401.57 : x
  2. Step 2: Convert to fraction form
    11,115.77/15,339.04 = 6,401.57/x
  3. Step 3: Cross multiply
    11,115.77x = 15,339.04 × 6,401.57
  4. Step 4: Simplify right side
    11,115.77x = 98,193,938.29
  5. Step 5: Solve for x
    x = 98,193,938.29/11,115.77
  6. Step 6: Final answer
    x = 8,833.75

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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.