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Finding the Fourth Proportional to 10,671.75, 16,009.14 and 3,652.39

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Solution

The fourth proportional to 10,671.75, 16,009.14 and 3,652.39 is: 5,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.75 : 16,009.14 = 3,652.39 : x
  2. Step 2: Convert to fraction form
    10,671.75/16,009.14 = 3,652.39/x
  3. Step 3: Cross multiply
    10,671.75x = 16,009.14 × 3,652.39
  4. Step 4: Simplify right side
    10,671.75x = 58,471,656.55
  5. Step 5: Solve for x
    x = 58,471,656.55/10,671.75
  6. Step 6: Final answer
    x = 5,479.11

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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.