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Finding the Fourth Proportional to 10,691.10, 16,036.11 and 3,671.76

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Solution

The fourth proportional to 10,691.10, 16,036.11 and 3,671.76 is: 5,507.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.10 : 16,036.11 = 3,671.76 : x
  2. Step 2: Convert to fraction form
    10,691.10/16,036.11 = 3,671.76/x
  3. Step 3: Cross multiply
    10,691.10x = 16,036.11 × 3,671.76
  4. Step 4: Simplify right side
    10,691.10x = 58,880,747.25
  5. Step 5: Solve for x
    x = 58,880,747.25/10,691.10
  6. Step 6: Final answer
    x = 5,507.45

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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.