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Finding the Fourth Proportional to 8,053.74, 12,084.24 and 6,202.08

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Solution

The fourth proportional to 8,053.74, 12,084.24 and 6,202.08 is: 9,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.74 : 12,084.24 = 6,202.08 : x
  2. Step 2: Convert to fraction form
    8,053.74/12,084.24 = 6,202.08/x
  3. Step 3: Cross multiply
    8,053.74x = 12,084.24 × 6,202.08
  4. Step 4: Simplify right side
    8,053.74x = 74,947,423.22
  5. Step 5: Solve for x
    x = 74,947,423.22/8,053.74
  6. Step 6: Final answer
    x = 9,305.92

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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.