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Finding the Fourth Proportional to 8,196.89, 11,312.66 and 4,660.62

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Solution

The fourth proportional to 8,196.89, 11,312.66 and 4,660.62 is: 6,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.89 : 11,312.66 = 4,660.62 : x
  2. Step 2: Convert to fraction form
    8,196.89/11,312.66 = 4,660.62/x
  3. Step 3: Cross multiply
    8,196.89x = 11,312.66 × 4,660.62
  4. Step 4: Simplify right side
    8,196.89x = 52,723,986.15
  5. Step 5: Solve for x
    x = 52,723,986.15/8,196.89
  6. Step 6: Final answer
    x = 6,432.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.