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Finding the Fourth Proportional to 8,871.69, 13,306.10 and 2,714.25

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Solution

The fourth proportional to 8,871.69, 13,306.10 and 2,714.25 is: 4,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,871.69 : 13,306.10 = 2,714.25 : x
  2. Step 2: Convert to fraction form
    8,871.69/13,306.10 = 2,714.25/x
  3. Step 3: Cross multiply
    8,871.69x = 13,306.10 × 2,714.25
  4. Step 4: Simplify right side
    8,871.69x = 36,116,068.35
  5. Step 5: Solve for x
    x = 36,116,068.35/8,871.69
  6. Step 6: Final answer
    x = 4,070.93

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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.