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Finding the Fourth Proportional to 8,228.16, 12,343.78 and 3,298.19

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Solution

The fourth proportional to 8,228.16, 12,343.78 and 3,298.19 is: 4,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.16 : 12,343.78 = 3,298.19 : x
  2. Step 2: Convert to fraction form
    8,228.16/12,343.78 = 3,298.19/x
  3. Step 3: Cross multiply
    8,228.16x = 12,343.78 × 3,298.19
  4. Step 4: Simplify right side
    8,228.16x = 40,712,055.61
  5. Step 5: Solve for x
    x = 40,712,055.61/8,228.16
  6. Step 6: Final answer
    x = 4,947.89

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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.