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Finding the Fourth Proportional to 7,101.92, 10,640.38 and 6,328.80

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Solution

The fourth proportional to 7,101.92, 10,640.38 and 6,328.80 is: 9,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.92 : 10,640.38 = 6,328.80 : x
  2. Step 2: Convert to fraction form
    7,101.92/10,640.38 = 6,328.80/x
  3. Step 3: Cross multiply
    7,101.92x = 10,640.38 × 6,328.80
  4. Step 4: Simplify right side
    7,101.92x = 67,340,836.94
  5. Step 5: Solve for x
    x = 67,340,836.94/7,101.92
  6. Step 6: Final answer
    x = 9,482.06

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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.