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Finding the Fourth Proportional to 8,210.31, 12,286.27 and 6,013.59

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Solution

The fourth proportional to 8,210.31, 12,286.27 and 6,013.59 is: 8,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.31 : 12,286.27 = 6,013.59 : x
  2. Step 2: Convert to fraction form
    8,210.31/12,286.27 = 6,013.59/x
  3. Step 3: Cross multiply
    8,210.31x = 12,286.27 × 6,013.59
  4. Step 4: Simplify right side
    8,210.31x = 73,884,590.41
  5. Step 5: Solve for x
    x = 73,884,590.41/8,210.31
  6. Step 6: Final answer
    x = 8,999.00

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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.