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Finding the Fourth Proportional to 6,816.34, 10,164.85 and 6,754.06

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Solution

The fourth proportional to 6,816.34, 10,164.85 and 6,754.06 is: 10,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.34 : 10,164.85 = 6,754.06 : x
  2. Step 2: Convert to fraction form
    6,816.34/10,164.85 = 6,754.06/x
  3. Step 3: Cross multiply
    6,816.34x = 10,164.85 × 6,754.06
  4. Step 4: Simplify right side
    6,816.34x = 68,654,006.79
  5. Step 5: Solve for x
    x = 68,654,006.79/6,816.34
  6. Step 6: Final answer
    x = 10,071.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.