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Finding the Fourth Proportional to 10,115.74, 15,173.75 and 3,876.07

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Solution

The fourth proportional to 10,115.74, 15,173.75 and 3,876.07 is: 5,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.74 : 15,173.75 = 3,876.07 : x
  2. Step 2: Convert to fraction form
    10,115.74/15,173.75 = 3,876.07/x
  3. Step 3: Cross multiply
    10,115.74x = 15,173.75 × 3,876.07
  4. Step 4: Simplify right side
    10,115.74x = 58,814,426.76
  5. Step 5: Solve for x
    x = 58,814,426.76/10,115.74
  6. Step 6: Final answer
    x = 5,814.15

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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.