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Finding the Fourth Proportional to 6,987.70, 10,480.46 and 2,056.42

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Solution

The fourth proportional to 6,987.70, 10,480.46 and 2,056.42 is: 3,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.70 : 10,480.46 = 2,056.42 : x
  2. Step 2: Convert to fraction form
    6,987.70/10,480.46 = 2,056.42/x
  3. Step 3: Cross multiply
    6,987.70x = 10,480.46 × 2,056.42
  4. Step 4: Simplify right side
    6,987.70x = 21,552,175.15
  5. Step 5: Solve for x
    x = 21,552,175.15/6,987.70
  6. Step 6: Final answer
    x = 3,084.30

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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.