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Finding the Fourth Proportional to 11,159.64, 16,741.17 and 3,763.53

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Solution

The fourth proportional to 11,159.64, 16,741.17 and 3,763.53 is: 5,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.64 : 16,741.17 = 3,763.53 : x
  2. Step 2: Convert to fraction form
    11,159.64/16,741.17 = 3,763.53/x
  3. Step 3: Cross multiply
    11,159.64x = 16,741.17 × 3,763.53
  4. Step 4: Simplify right side
    11,159.64x = 63,005,895.53
  5. Step 5: Solve for x
    x = 63,005,895.53/11,159.64
  6. Step 6: Final answer
    x = 5,645.87

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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.