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Finding the Fourth Proportional to 8,977.72, 13,467.04 and 2,737.24

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Solution

The fourth proportional to 8,977.72, 13,467.04 and 2,737.24 is: 4,106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.72 : 13,467.04 = 2,737.24 : x
  2. Step 2: Convert to fraction form
    8,977.72/13,467.04 = 2,737.24/x
  3. Step 3: Cross multiply
    8,977.72x = 13,467.04 × 2,737.24
  4. Step 4: Simplify right side
    8,977.72x = 36,862,520.57
  5. Step 5: Solve for x
    x = 36,862,520.57/8,977.72
  6. Step 6: Final answer
    x = 4,106.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.