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Finding the Fourth Proportional to 8,737.39, 13,108.14 and 2,894

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Solution

The fourth proportional to 8,737.39, 13,108.14 and 2,894 is: 4,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.39 : 13,108.14 = 2,894 : x
  2. Step 2: Convert to fraction form
    8,737.39/13,108.14 = 2,894/x
  3. Step 3: Cross multiply
    8,737.39x = 13,108.14 × 2,894
  4. Step 4: Simplify right side
    8,737.39x = 37,934,957.16
  5. Step 5: Solve for x
    x = 37,934,957.16/8,737.39
  6. Step 6: Final answer
    x = 4,341.68

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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.