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Finding the Fourth Proportional to 10,452.03, 15,676.47 and 3,054.48

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Solution

The fourth proportional to 10,452.03, 15,676.47 and 3,054.48 is: 4,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.03 : 15,676.47 = 3,054.48 : x
  2. Step 2: Convert to fraction form
    10,452.03/15,676.47 = 3,054.48/x
  3. Step 3: Cross multiply
    10,452.03x = 15,676.47 × 3,054.48
  4. Step 4: Simplify right side
    10,452.03x = 47,883,464.09
  5. Step 5: Solve for x
    x = 47,883,464.09/10,452.03
  6. Step 6: Final answer
    x = 4,581.26

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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.