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Finding the Fourth Proportional to 8,202.17, 12,306.86 and 4,305.67

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Solution

The fourth proportional to 8,202.17, 12,306.86 and 4,305.67 is: 6,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.17 : 12,306.86 = 4,305.67 : x
  2. Step 2: Convert to fraction form
    8,202.17/12,306.86 = 4,305.67/x
  3. Step 3: Cross multiply
    8,202.17x = 12,306.86 × 4,305.67
  4. Step 4: Simplify right side
    8,202.17x = 52,989,277.90
  5. Step 5: Solve for x
    x = 52,989,277.90/8,202.17
  6. Step 6: Final answer
    x = 6,460.40

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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.