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Finding the Fourth Proportional to 7,632.84, 10,533.42 and 4,446.05

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Solution

The fourth proportional to 7,632.84, 10,533.42 and 4,446.05 is: 6,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.84 : 10,533.42 = 4,446.05 : x
  2. Step 2: Convert to fraction form
    7,632.84/10,533.42 = 4,446.05/x
  3. Step 3: Cross multiply
    7,632.84x = 10,533.42 × 4,446.05
  4. Step 4: Simplify right side
    7,632.84x = 46,832,137.33
  5. Step 5: Solve for x
    x = 46,832,137.33/7,632.84
  6. Step 6: Final answer
    x = 6,135.61

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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.