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Finding the Fourth Proportional to 7,633.32, 10,529.46 and 5,649

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Solution

The fourth proportional to 7,633.32, 10,529.46 and 5,649 is: 7,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.32 : 10,529.46 = 5,649 : x
  2. Step 2: Convert to fraction form
    7,633.32/10,529.46 = 5,649/x
  3. Step 3: Cross multiply
    7,633.32x = 10,529.46 × 5,649
  4. Step 4: Simplify right side
    7,633.32x = 59,480,919.54
  5. Step 5: Solve for x
    x = 59,480,919.54/7,633.32
  6. Step 6: Final answer
    x = 7,792.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.