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Finding the Fourth Proportional to 8,276.16, 12,414.40 and 2,804.16

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Solution

The fourth proportional to 8,276.16, 12,414.40 and 2,804.16 is: 4,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.16 : 12,414.40 = 2,804.16 : x
  2. Step 2: Convert to fraction form
    8,276.16/12,414.40 = 2,804.16/x
  3. Step 3: Cross multiply
    8,276.16x = 12,414.40 × 2,804.16
  4. Step 4: Simplify right side
    8,276.16x = 34,811,963.90
  5. Step 5: Solve for x
    x = 34,811,963.90/8,276.16
  6. Step 6: Final answer
    x = 4,206.29

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