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Finding the Fourth Proportional to 8,738.40, 13,106.12 and 2,411.76

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Solution

The fourth proportional to 8,738.40, 13,106.12 and 2,411.76 is: 3,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.40 : 13,106.12 = 2,411.76 : x
  2. Step 2: Convert to fraction form
    8,738.40/13,106.12 = 2,411.76/x
  3. Step 3: Cross multiply
    8,738.40x = 13,106.12 × 2,411.76
  4. Step 4: Simplify right side
    8,738.40x = 31,608,815.97
  5. Step 5: Solve for x
    x = 31,608,815.97/8,738.40
  6. Step 6: Final answer
    x = 3,617.23

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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.