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Finding the Fourth Proportional to 6,684.32, 10,013.40 and 5,759.84

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Solution

The fourth proportional to 6,684.32, 10,013.40 and 5,759.84 is: 8,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.32 : 10,013.40 = 5,759.84 : x
  2. Step 2: Convert to fraction form
    6,684.32/10,013.40 = 5,759.84/x
  3. Step 3: Cross multiply
    6,684.32x = 10,013.40 × 5,759.84
  4. Step 4: Simplify right side
    6,684.32x = 57,675,581.86
  5. Step 5: Solve for x
    x = 57,675,581.86/6,684.32
  6. Step 6: Final answer
    x = 8,628.49

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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.