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Finding the Fourth Proportional to 10,039.44, 15,059.16 and 3,882

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Solution

The fourth proportional to 10,039.44, 15,059.16 and 3,882 is: 5,823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.44 : 15,059.16 = 3,882 : x
  2. Step 2: Convert to fraction form
    10,039.44/15,059.16 = 3,882/x
  3. Step 3: Cross multiply
    10,039.44x = 15,059.16 × 3,882
  4. Step 4: Simplify right side
    10,039.44x = 58,459,659.12
  5. Step 5: Solve for x
    x = 58,459,659.12/10,039.44
  6. Step 6: Final answer
    x = 5,823.00

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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.