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Finding the Fourth Proportional to 6,578.37, 9,853.53 and 5,323.59

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Solution

The fourth proportional to 6,578.37, 9,853.53 and 5,323.59 is: 7,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.37 : 9,853.53 = 5,323.59 : x
  2. Step 2: Convert to fraction form
    6,578.37/9,853.53 = 5,323.59/x
  3. Step 3: Cross multiply
    6,578.37x = 9,853.53 × 5,323.59
  4. Step 4: Simplify right side
    6,578.37x = 52,456,153.77
  5. Step 5: Solve for x
    x = 52,456,153.77/6,578.37
  6. Step 6: Final answer
    x = 7,974.04

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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.