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Finding the Fourth Proportional to 8,358.09, 12,535.56 and 4,196.97

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Solution

The fourth proportional to 8,358.09, 12,535.56 and 4,196.97 is: 6,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.09 : 12,535.56 = 4,196.97 : x
  2. Step 2: Convert to fraction form
    8,358.09/12,535.56 = 4,196.97/x
  3. Step 3: Cross multiply
    8,358.09x = 12,535.56 × 4,196.97
  4. Step 4: Simplify right side
    8,358.09x = 52,611,369.25
  5. Step 5: Solve for x
    x = 52,611,369.25/8,358.09
  6. Step 6: Final answer
    x = 6,294.66

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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.