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Finding the Fourth Proportional to 7,634.00, 10,532.88 and 4,608.38

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Solution

The fourth proportional to 7,634.00, 10,532.88 and 4,608.38 is: 6,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.00 : 10,532.88 = 4,608.38 : x
  2. Step 2: Convert to fraction form
    7,634.00/10,532.88 = 4,608.38/x
  3. Step 3: Cross multiply
    7,634.00x = 10,532.88 × 4,608.38
  4. Step 4: Simplify right side
    7,634.00x = 48,539,460.87
  5. Step 5: Solve for x
    x = 48,539,460.87/7,634.00
  6. Step 6: Final answer
    x = 6,358.33

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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.