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Finding the Fourth Proportional to 10,449.75, 15,676.08 and 3,054.75

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Solution

The fourth proportional to 10,449.75, 15,676.08 and 3,054.75 is: 4,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.75 : 15,676.08 = 3,054.75 : x
  2. Step 2: Convert to fraction form
    10,449.75/15,676.08 = 3,054.75/x
  3. Step 3: Cross multiply
    10,449.75x = 15,676.08 × 3,054.75
  4. Step 4: Simplify right side
    10,449.75x = 47,886,505.38
  5. Step 5: Solve for x
    x = 47,886,505.38/10,449.75
  6. Step 6: Final answer
    x = 4,582.55

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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.