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Finding the Fourth Proportional to 7,589.87, 10,475.36 and 4,904.42

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Solution

The fourth proportional to 7,589.87, 10,475.36 and 4,904.42 is: 6,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.87 : 10,475.36 = 4,904.42 : x
  2. Step 2: Convert to fraction form
    7,589.87/10,475.36 = 4,904.42/x
  3. Step 3: Cross multiply
    7,589.87x = 10,475.36 × 4,904.42
  4. Step 4: Simplify right side
    7,589.87x = 51,375,506.58
  5. Step 5: Solve for x
    x = 51,375,506.58/7,589.87
  6. Step 6: Final answer
    x = 6,768.96

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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.