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Finding the Fourth Proportional to 8,677.80, 13,018.73 and 2,834.46

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Solution

The fourth proportional to 8,677.80, 13,018.73 and 2,834.46 is: 4,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.80 : 13,018.73 = 2,834.46 : x
  2. Step 2: Convert to fraction form
    8,677.80/13,018.73 = 2,834.46/x
  3. Step 3: Cross multiply
    8,677.80x = 13,018.73 × 2,834.46
  4. Step 4: Simplify right side
    8,677.80x = 36,901,055.26
  5. Step 5: Solve for x
    x = 36,901,055.26/8,677.80
  6. Step 6: Final answer
    x = 4,252.35

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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.