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Finding the Fourth Proportional to 10,488.14, 15,734.94 and 3,914.38

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Solution

The fourth proportional to 10,488.14, 15,734.94 and 3,914.38 is: 5,872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.14 : 15,734.94 = 3,914.38 : x
  2. Step 2: Convert to fraction form
    10,488.14/15,734.94 = 3,914.38/x
  3. Step 3: Cross multiply
    10,488.14x = 15,734.94 × 3,914.38
  4. Step 4: Simplify right side
    10,488.14x = 61,592,534.44
  5. Step 5: Solve for x
    x = 61,592,534.44/10,488.14
  6. Step 6: Final answer
    x = 5,872.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.