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Finding the Fourth Proportional to 8,228.02, 11,355.39 and 4,869.14

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Solution

The fourth proportional to 8,228.02, 11,355.39 and 4,869.14 is: 6,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.02 : 11,355.39 = 4,869.14 : x
  2. Step 2: Convert to fraction form
    8,228.02/11,355.39 = 4,869.14/x
  3. Step 3: Cross multiply
    8,228.02x = 11,355.39 × 4,869.14
  4. Step 4: Simplify right side
    8,228.02x = 55,290,983.66
  5. Step 5: Solve for x
    x = 55,290,983.66/8,228.02
  6. Step 6: Final answer
    x = 6,719.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.