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Finding the Fourth Proportional to 8,538.01, 12,812.78 and 2,991.40

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Solution

The fourth proportional to 8,538.01, 12,812.78 and 2,991.40 is: 4,489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.01 : 12,812.78 = 2,991.40 : x
  2. Step 2: Convert to fraction form
    8,538.01/12,812.78 = 2,991.40/x
  3. Step 3: Cross multiply
    8,538.01x = 12,812.78 × 2,991.40
  4. Step 4: Simplify right side
    8,538.01x = 38,328,150.09
  5. Step 5: Solve for x
    x = 38,328,150.09/8,538.01
  6. Step 6: Final answer
    x = 4,489.12

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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.