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Finding the Fourth Proportional to 7,656.15, 11,481.25 and 2,975.54

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Solution

The fourth proportional to 7,656.15, 11,481.25 and 2,975.54 is: 4,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.15 : 11,481.25 = 2,975.54 : x
  2. Step 2: Convert to fraction form
    7,656.15/11,481.25 = 2,975.54/x
  3. Step 3: Cross multiply
    7,656.15x = 11,481.25 × 2,975.54
  4. Step 4: Simplify right side
    7,656.15x = 34,162,900.02
  5. Step 5: Solve for x
    x = 34,162,900.02/7,656.15
  6. Step 6: Final answer
    x = 4,462.15

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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.