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Finding the Fourth Proportional to 7,633.74, 11,454.01 and 4,859.70

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Solution

The fourth proportional to 7,633.74, 11,454.01 and 4,859.70 is: 7,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.74 : 11,454.01 = 4,859.70 : x
  2. Step 2: Convert to fraction form
    7,633.74/11,454.01 = 4,859.70/x
  3. Step 3: Cross multiply
    7,633.74x = 11,454.01 × 4,859.70
  4. Step 4: Simplify right side
    7,633.74x = 55,662,997.30
  5. Step 5: Solve for x
    x = 55,662,997.30/7,633.74
  6. Step 6: Final answer
    x = 7,291.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.