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Finding the Fourth Proportional to 8,737.44, 13,106.84 and 2,498

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Solution

The fourth proportional to 8,737.44, 13,106.84 and 2,498 is: 3,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.44 : 13,106.84 = 2,498 : x
  2. Step 2: Convert to fraction form
    8,737.44/13,106.84 = 2,498/x
  3. Step 3: Cross multiply
    8,737.44x = 13,106.84 × 2,498
  4. Step 4: Simplify right side
    8,737.44x = 32,740,886.32
  5. Step 5: Solve for x
    x = 32,740,886.32/8,737.44
  6. Step 6: Final answer
    x = 3,747.19

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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.