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Finding the Fourth Proportional to 11,377.32, 17,068 and 4,357.04

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Solution

The fourth proportional to 11,377.32, 17,068 and 4,357.04 is: 6,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.32 : 17,068 = 4,357.04 : x
  2. Step 2: Convert to fraction form
    11,377.32/17,068 = 4,357.04/x
  3. Step 3: Cross multiply
    11,377.32x = 17,068 × 4,357.04
  4. Step 4: Simplify right side
    11,377.32x = 74,365,958.72
  5. Step 5: Solve for x
    x = 74,365,958.72/11,377.32
  6. Step 6: Final answer
    x = 6,536.33

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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.