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Finding the Fourth Proportional to 10,093.68, 15,138.23 and 4,169.07

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Solution

The fourth proportional to 10,093.68, 15,138.23 and 4,169.07 is: 6,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.68 : 15,138.23 = 4,169.07 : x
  2. Step 2: Convert to fraction form
    10,093.68/15,138.23 = 4,169.07/x
  3. Step 3: Cross multiply
    10,093.68x = 15,138.23 × 4,169.07
  4. Step 4: Simplify right side
    10,093.68x = 63,112,319.70
  5. Step 5: Solve for x
    x = 63,112,319.70/10,093.68
  6. Step 6: Final answer
    x = 6,252.66

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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.