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Finding the Fourth Proportional to 8,342.83, 12,510 and 2,794.18

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Solution

The fourth proportional to 8,342.83, 12,510 and 2,794.18 is: 4,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.83 : 12,510 = 2,794.18 : x
  2. Step 2: Convert to fraction form
    8,342.83/12,510 = 2,794.18/x
  3. Step 3: Cross multiply
    8,342.83x = 12,510 × 2,794.18
  4. Step 4: Simplify right side
    8,342.83x = 34,955,191.80
  5. Step 5: Solve for x
    x = 34,955,191.80/8,342.83
  6. Step 6: Final answer
    x = 4,189.85

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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.