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Finding the Fourth Proportional to 7,680.78, 10,600.02 and 4,537.98

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Solution

The fourth proportional to 7,680.78, 10,600.02 and 4,537.98 is: 6,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.78 : 10,600.02 = 4,537.98 : x
  2. Step 2: Convert to fraction form
    7,680.78/10,600.02 = 4,537.98/x
  3. Step 3: Cross multiply
    7,680.78x = 10,600.02 × 4,537.98
  4. Step 4: Simplify right side
    7,680.78x = 48,102,678.76
  5. Step 5: Solve for x
    x = 48,102,678.76/7,680.78
  6. Step 6: Final answer
    x = 6,262.73

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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.