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Finding the Fourth Proportional to 8,765.76, 13,150.86 and 2,922.48

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Solution

The fourth proportional to 8,765.76, 13,150.86 and 2,922.48 is: 4,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.76 : 13,150.86 = 2,922.48 : x
  2. Step 2: Convert to fraction form
    8,765.76/13,150.86 = 2,922.48/x
  3. Step 3: Cross multiply
    8,765.76x = 13,150.86 × 2,922.48
  4. Step 4: Simplify right side
    8,765.76x = 38,433,125.33
  5. Step 5: Solve for x
    x = 38,433,125.33/8,765.76
  6. Step 6: Final answer
    x = 4,384.46

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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.