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Finding the Fourth Proportional to 10,008.18, 15,011.13 and 3,433.50

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Solution

The fourth proportional to 10,008.18, 15,011.13 and 3,433.50 is: 5,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.18 : 15,011.13 = 3,433.50 : x
  2. Step 2: Convert to fraction form
    10,008.18/15,011.13 = 3,433.50/x
  3. Step 3: Cross multiply
    10,008.18x = 15,011.13 × 3,433.50
  4. Step 4: Simplify right side
    10,008.18x = 51,540,714.86
  5. Step 5: Solve for x
    x = 51,540,714.86/10,008.18
  6. Step 6: Final answer
    x = 5,149.86

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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.