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Finding the Fourth Proportional to 10,671.35, 16,005.20 and 4,094.15

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Solution

The fourth proportional to 10,671.35, 16,005.20 and 4,094.15 is: 6,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.35 : 16,005.20 = 4,094.15 : x
  2. Step 2: Convert to fraction form
    10,671.35/16,005.20 = 4,094.15/x
  3. Step 3: Cross multiply
    10,671.35x = 16,005.20 × 4,094.15
  4. Step 4: Simplify right side
    10,671.35x = 65,527,589.08
  5. Step 5: Solve for x
    x = 65,527,589.08/10,671.35
  6. Step 6: Final answer
    x = 6,140.52

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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.