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Finding the Fourth Proportional to 10,581.48, 15,851.06 and 5,040.20

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Solution

The fourth proportional to 10,581.48, 15,851.06 and 5,040.20 is: 7,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.48 : 15,851.06 = 5,040.20 : x
  2. Step 2: Convert to fraction form
    10,581.48/15,851.06 = 5,040.20/x
  3. Step 3: Cross multiply
    10,581.48x = 15,851.06 × 5,040.20
  4. Step 4: Simplify right side
    10,581.48x = 79,892,512.61
  5. Step 5: Solve for x
    x = 79,892,512.61/10,581.48
  6. Step 6: Final answer
    x = 7,550.22

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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.