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Finding the Fourth Proportional to 6,809.32, 10,164.29 and 5,841.64

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Solution

The fourth proportional to 6,809.32, 10,164.29 and 5,841.64 is: 8,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.32 : 10,164.29 = 5,841.64 : x
  2. Step 2: Convert to fraction form
    6,809.32/10,164.29 = 5,841.64/x
  3. Step 3: Cross multiply
    6,809.32x = 10,164.29 × 5,841.64
  4. Step 4: Simplify right side
    6,809.32x = 59,376,123.04
  5. Step 5: Solve for x
    x = 59,376,123.04/6,809.32
  6. Step 6: Final answer
    x = 8,719.83

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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.