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Finding the Fourth Proportional to 8,436, 11,641.56 and 4,901.20

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Solution

The fourth proportional to 8,436, 11,641.56 and 4,901.20 is: 6,763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436 : 11,641.56 = 4,901.20 : x
  2. Step 2: Convert to fraction form
    8,436/11,641.56 = 4,901.20/x
  3. Step 3: Cross multiply
    8,436x = 11,641.56 × 4,901.20
  4. Step 4: Simplify right side
    8,436x = 57,057,613.87
  5. Step 5: Solve for x
    x = 57,057,613.87/8,436
  6. Step 6: Final answer
    x = 6,763.59

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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.