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Finding the Fourth Proportional to 7,647.38, 10,555.64 and 4,995.20

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Solution

The fourth proportional to 7,647.38, 10,555.64 and 4,995.20 is: 6,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.38 : 10,555.64 = 4,995.20 : x
  2. Step 2: Convert to fraction form
    7,647.38/10,555.64 = 4,995.20/x
  3. Step 3: Cross multiply
    7,647.38x = 10,555.64 × 4,995.20
  4. Step 4: Simplify right side
    7,647.38x = 52,727,532.93
  5. Step 5: Solve for x
    x = 52,727,532.93/7,647.38
  6. Step 6: Final answer
    x = 6,894.85

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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.