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Finding the Fourth Proportional to 6,808.13, 10,211.91 and 1,877.64

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Solution

The fourth proportional to 6,808.13, 10,211.91 and 1,877.64 is: 2,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.13 : 10,211.91 = 1,877.64 : x
  2. Step 2: Convert to fraction form
    6,808.13/10,211.91 = 1,877.64/x
  3. Step 3: Cross multiply
    6,808.13x = 10,211.91 × 1,877.64
  4. Step 4: Simplify right side
    6,808.13x = 19,174,252.40
  5. Step 5: Solve for x
    x = 19,174,252.40/6,808.13
  6. Step 6: Final answer
    x = 2,816.38

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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.