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Finding the Fourth Proportional to 7,680.38, 10,599.07 and 4,536.57

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Solution

The fourth proportional to 7,680.38, 10,599.07 and 4,536.57 is: 6,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.38 : 10,599.07 = 4,536.57 : x
  2. Step 2: Convert to fraction form
    7,680.38/10,599.07 = 4,536.57/x
  3. Step 3: Cross multiply
    7,680.38x = 10,599.07 × 4,536.57
  4. Step 4: Simplify right side
    7,680.38x = 48,083,422.99
  5. Step 5: Solve for x
    x = 48,083,422.99/7,680.38
  6. Step 6: Final answer
    x = 6,260.55

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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.