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Finding the Fourth Proportional to 8,115.96, 11,200 and 4,389.96

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Solution

The fourth proportional to 8,115.96, 11,200 and 4,389.96 is: 6,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.96 : 11,200 = 4,389.96 : x
  2. Step 2: Convert to fraction form
    8,115.96/11,200 = 4,389.96/x
  3. Step 3: Cross multiply
    8,115.96x = 11,200 × 4,389.96
  4. Step 4: Simplify right side
    8,115.96x = 49,167,552
  5. Step 5: Solve for x
    x = 49,167,552/8,115.96
  6. Step 6: Final answer
    x = 6,058.13

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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.