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Finding the Fourth Proportional to 8,196.67, 12,298.61 and 4,300.16

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Solution

The fourth proportional to 8,196.67, 12,298.61 and 4,300.16 is: 6,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.67 : 12,298.61 = 4,300.16 : x
  2. Step 2: Convert to fraction form
    8,196.67/12,298.61 = 4,300.16/x
  3. Step 3: Cross multiply
    8,196.67x = 12,298.61 × 4,300.16
  4. Step 4: Simplify right side
    8,196.67x = 52,885,990.78
  5. Step 5: Solve for x
    x = 52,885,990.78/8,196.67
  6. Step 6: Final answer
    x = 6,452.13

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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.