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Finding the Fourth Proportional to 6,807.80, 10,211.70 and 6,807.80

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Solution

The fourth proportional to 6,807.80, 10,211.70 and 6,807.80 is: 10,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.80 : 10,211.70 = 6,807.80 : x
  2. Step 2: Convert to fraction form
    6,807.80/10,211.70 = 6,807.80/x
  3. Step 3: Cross multiply
    6,807.80x = 10,211.70 × 6,807.80
  4. Step 4: Simplify right side
    6,807.80x = 69,519,211.26
  5. Step 5: Solve for x
    x = 69,519,211.26/6,807.80
  6. Step 6: Final answer
    x = 10,211.70

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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.