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Finding the Fourth Proportional to 10,041.40, 15,063 and 2,645.76

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Solution

The fourth proportional to 10,041.40, 15,063 and 2,645.76 is: 3,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.40 : 15,063 = 2,645.76 : x
  2. Step 2: Convert to fraction form
    10,041.40/15,063 = 2,645.76/x
  3. Step 3: Cross multiply
    10,041.40x = 15,063 × 2,645.76
  4. Step 4: Simplify right side
    10,041.40x = 39,853,082.88
  5. Step 5: Solve for x
    x = 39,853,082.88/10,041.40
  6. Step 6: Final answer
    x = 3,968.88

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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.