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Finding the Fourth Proportional to 6,857.12, 10,261.08 and 5,758.16

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Solution

The fourth proportional to 6,857.12, 10,261.08 and 5,758.16 is: 8,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.12 : 10,261.08 = 5,758.16 : x
  2. Step 2: Convert to fraction form
    6,857.12/10,261.08 = 5,758.16/x
  3. Step 3: Cross multiply
    6,857.12x = 10,261.08 × 5,758.16
  4. Step 4: Simplify right side
    6,857.12x = 59,084,889.11
  5. Step 5: Solve for x
    x = 59,084,889.11/6,857.12
  6. Step 6: Final answer
    x = 8,616.57

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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.