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Finding the Fourth Proportional to 8,738.38, 13,106.65 and 2,497.98

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Solution

The fourth proportional to 8,738.38, 13,106.65 and 2,497.98 is: 3,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.38 : 13,106.65 = 2,497.98 : x
  2. Step 2: Convert to fraction form
    8,738.38/13,106.65 = 2,497.98/x
  3. Step 3: Cross multiply
    8,738.38x = 13,106.65 × 2,497.98
  4. Step 4: Simplify right side
    8,738.38x = 32,740,149.57
  5. Step 5: Solve for x
    x = 32,740,149.57/8,738.38
  6. Step 6: Final answer
    x = 3,746.71

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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.