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Finding the Fourth Proportional to 8,292.30, 12,436.66 and 2,744.34

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Solution

The fourth proportional to 8,292.30, 12,436.66 and 2,744.34 is: 4,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.30 : 12,436.66 = 2,744.34 : x
  2. Step 2: Convert to fraction form
    8,292.30/12,436.66 = 2,744.34/x
  3. Step 3: Cross multiply
    8,292.30x = 12,436.66 × 2,744.34
  4. Step 4: Simplify right side
    8,292.30x = 34,130,423.50
  5. Step 5: Solve for x
    x = 34,130,423.50/8,292.30
  6. Step 6: Final answer
    x = 4,115.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.