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Finding the Fourth Proportional to 8,203.06, 12,306.51 and 2,656.18

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Solution

The fourth proportional to 8,203.06, 12,306.51 and 2,656.18 is: 3,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.06 : 12,306.51 = 2,656.18 : x
  2. Step 2: Convert to fraction form
    8,203.06/12,306.51 = 2,656.18/x
  3. Step 3: Cross multiply
    8,203.06x = 12,306.51 × 2,656.18
  4. Step 4: Simplify right side
    8,203.06x = 32,688,305.73
  5. Step 5: Solve for x
    x = 32,688,305.73/8,203.06
  6. Step 6: Final answer
    x = 3,984.89

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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.