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Finding the Fourth Proportional to 7,608.74, 10,496.84 and 4,624.38

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Solution

The fourth proportional to 7,608.74, 10,496.84 and 4,624.38 is: 6,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.74 : 10,496.84 = 4,624.38 : x
  2. Step 2: Convert to fraction form
    7,608.74/10,496.84 = 4,624.38/x
  3. Step 3: Cross multiply
    7,608.74x = 10,496.84 × 4,624.38
  4. Step 4: Simplify right side
    7,608.74x = 48,541,353.84
  5. Step 5: Solve for x
    x = 48,541,353.84/7,608.74
  6. Step 6: Final answer
    x = 6,379.69

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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.