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Finding the Fourth Proportional to 7,675.65, 10,596.11 and 4,847.13

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Solution

The fourth proportional to 7,675.65, 10,596.11 and 4,847.13 is: 6,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.65 : 10,596.11 = 4,847.13 : x
  2. Step 2: Convert to fraction form
    7,675.65/10,596.11 = 4,847.13/x
  3. Step 3: Cross multiply
    7,675.65x = 10,596.11 × 4,847.13
  4. Step 4: Simplify right side
    7,675.65x = 51,360,698.43
  5. Step 5: Solve for x
    x = 51,360,698.43/7,675.65
  6. Step 6: Final answer
    x = 6,691.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.