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Finding the Fourth Proportional to 6,780.16, 10,170.88 and 3,084.16

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Solution

The fourth proportional to 6,780.16, 10,170.88 and 3,084.16 is: 4,626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.16 : 10,170.88 = 3,084.16 : x
  2. Step 2: Convert to fraction form
    6,780.16/10,170.88 = 3,084.16/x
  3. Step 3: Cross multiply
    6,780.16x = 10,170.88 × 3,084.16
  4. Step 4: Simplify right side
    6,780.16x = 31,368,621.26
  5. Step 5: Solve for x
    x = 31,368,621.26/6,780.16
  6. Step 6: Final answer
    x = 4,626.53

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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.