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Finding the Fourth Proportional to 8,276.52, 12,414.80 and 2,804.52

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Solution

The fourth proportional to 8,276.52, 12,414.80 and 2,804.52 is: 4,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.52 : 12,414.80 = 2,804.52 : x
  2. Step 2: Convert to fraction form
    8,276.52/12,414.80 = 2,804.52/x
  3. Step 3: Cross multiply
    8,276.52x = 12,414.80 × 2,804.52
  4. Step 4: Simplify right side
    8,276.52x = 34,817,554.90
  5. Step 5: Solve for x
    x = 34,817,554.90/8,276.52
  6. Step 6: Final answer
    x = 4,206.79

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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.