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Finding the Fourth Proportional to 7,633.38, 10,533.74 and 4,276.20

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Solution

The fourth proportional to 7,633.38, 10,533.74 and 4,276.20 is: 5,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.38 : 10,533.74 = 4,276.20 : x
  2. Step 2: Convert to fraction form
    7,633.38/10,533.74 = 4,276.20/x
  3. Step 3: Cross multiply
    7,633.38x = 10,533.74 × 4,276.20
  4. Step 4: Simplify right side
    7,633.38x = 45,044,357.61
  5. Step 5: Solve for x
    x = 45,044,357.61/7,633.38
  6. Step 6: Final answer
    x = 5,900.97

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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.