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Finding the Fourth Proportional to 8,202.99, 12,306.45 and 2,656.35

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Solution

The fourth proportional to 8,202.99, 12,306.45 and 2,656.35 is: 3,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.99 : 12,306.45 = 2,656.35 : x
  2. Step 2: Convert to fraction form
    8,202.99/12,306.45 = 2,656.35/x
  3. Step 3: Cross multiply
    8,202.99x = 12,306.45 × 2,656.35
  4. Step 4: Simplify right side
    8,202.99x = 32,690,233.48
  5. Step 5: Solve for x
    x = 32,690,233.48/8,202.99
  6. Step 6: Final answer
    x = 3,985.16

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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.