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Finding the Fourth Proportional to 8,638.46, 11,920.20 and 5,101.10

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Solution

The fourth proportional to 8,638.46, 11,920.20 and 5,101.10 is: 7,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.46 : 11,920.20 = 5,101.10 : x
  2. Step 2: Convert to fraction form
    8,638.46/11,920.20 = 5,101.10/x
  3. Step 3: Cross multiply
    8,638.46x = 11,920.20 × 5,101.10
  4. Step 4: Simplify right side
    8,638.46x = 60,806,132.22
  5. Step 5: Solve for x
    x = 60,806,132.22/8,638.46
  6. Step 6: Final answer
    x = 7,039.00

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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.