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Finding the Fourth Proportional to 7,675.39, 10,594.70 and 4,531.38

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Solution

The fourth proportional to 7,675.39, 10,594.70 and 4,531.38 is: 6,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.39 : 10,594.70 = 4,531.38 : x
  2. Step 2: Convert to fraction form
    7,675.39/10,594.70 = 4,531.38/x
  3. Step 3: Cross multiply
    7,675.39x = 10,594.70 × 4,531.38
  4. Step 4: Simplify right side
    7,675.39x = 48,008,611.69
  5. Step 5: Solve for x
    x = 48,008,611.69/7,675.39
  6. Step 6: Final answer
    x = 6,254.88

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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.