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Finding the Fourth Proportional to 10,244.88, 15,366.76 and 5,049

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Solution

The fourth proportional to 10,244.88, 15,366.76 and 5,049 is: 7,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.88 : 15,366.76 = 5,049 : x
  2. Step 2: Convert to fraction form
    10,244.88/15,366.76 = 5,049/x
  3. Step 3: Cross multiply
    10,244.88x = 15,366.76 × 5,049
  4. Step 4: Simplify right side
    10,244.88x = 77,586,771.24
  5. Step 5: Solve for x
    x = 77,586,771.24/10,244.88
  6. Step 6: Final answer
    x = 7,573.22

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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.