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Finding the Fourth Proportional to 8,737.70, 13,102.53 and 2,813.48

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Solution

The fourth proportional to 8,737.70, 13,102.53 and 2,813.48 is: 4,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.70 : 13,102.53 = 2,813.48 : x
  2. Step 2: Convert to fraction form
    8,737.70/13,102.53 = 2,813.48/x
  3. Step 3: Cross multiply
    8,737.70x = 13,102.53 × 2,813.48
  4. Step 4: Simplify right side
    8,737.70x = 36,863,706.10
  5. Step 5: Solve for x
    x = 36,863,706.10/8,737.70
  6. Step 6: Final answer
    x = 4,218.93

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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.