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Finding the Fourth Proportional to 8,123.89, 11,211.12 and 4,587.17

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Solution

The fourth proportional to 8,123.89, 11,211.12 and 4,587.17 is: 6,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.89 : 11,211.12 = 4,587.17 : x
  2. Step 2: Convert to fraction form
    8,123.89/11,211.12 = 4,587.17/x
  3. Step 3: Cross multiply
    8,123.89x = 11,211.12 × 4,587.17
  4. Step 4: Simplify right side
    8,123.89x = 51,427,313.33
  5. Step 5: Solve for x
    x = 51,427,313.33/8,123.89
  6. Step 6: Final answer
    x = 6,330.38

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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.