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Finding the Fourth Proportional to 6,827.40, 10,265.40 and 5,758.20

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Solution

The fourth proportional to 6,827.40, 10,265.40 and 5,758.20 is: 8,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.40 : 10,265.40 = 5,758.20 : x
  2. Step 2: Convert to fraction form
    6,827.40/10,265.40 = 5,758.20/x
  3. Step 3: Cross multiply
    6,827.40x = 10,265.40 × 5,758.20
  4. Step 4: Simplify right side
    6,827.40x = 59,110,226.28
  5. Step 5: Solve for x
    x = 59,110,226.28/6,827.40
  6. Step 6: Final answer
    x = 8,657.79

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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.