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Finding the Fourth Proportional to 8,235.66, 12,343.14 and 5,883.42

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Solution

The fourth proportional to 8,235.66, 12,343.14 and 5,883.42 is: 8,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.66 : 12,343.14 = 5,883.42 : x
  2. Step 2: Convert to fraction form
    8,235.66/12,343.14 = 5,883.42/x
  3. Step 3: Cross multiply
    8,235.66x = 12,343.14 × 5,883.42
  4. Step 4: Simplify right side
    8,235.66x = 72,619,876.74
  5. Step 5: Solve for x
    x = 72,619,876.74/8,235.66
  6. Step 6: Final answer
    x = 8,817.74

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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.