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Finding the Fourth Proportional to 7,176.80, 10,765.06 and 2,959.14

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Solution

The fourth proportional to 7,176.80, 10,765.06 and 2,959.14 is: 4,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.80 : 10,765.06 = 2,959.14 : x
  2. Step 2: Convert to fraction form
    7,176.80/10,765.06 = 2,959.14/x
  3. Step 3: Cross multiply
    7,176.80x = 10,765.06 × 2,959.14
  4. Step 4: Simplify right side
    7,176.80x = 31,855,319.65
  5. Step 5: Solve for x
    x = 31,855,319.65/7,176.80
  6. Step 6: Final answer
    x = 4,438.65

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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.