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Finding the Fourth Proportional to 6,805.11, 10,211.46 and 5,320.11

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Solution

The fourth proportional to 6,805.11, 10,211.46 and 5,320.11 is: 7,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.11 : 10,211.46 = 5,320.11 : x
  2. Step 2: Convert to fraction form
    6,805.11/10,211.46 = 5,320.11/x
  3. Step 3: Cross multiply
    6,805.11x = 10,211.46 × 5,320.11
  4. Step 4: Simplify right side
    6,805.11x = 54,326,090.46
  5. Step 5: Solve for x
    x = 54,326,090.46/6,805.11
  6. Step 6: Final answer
    x = 7,983.13

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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.