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Finding the Fourth Proportional to 6,857.60, 10,278.64 and 3,152.18

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Solution

The fourth proportional to 6,857.60, 10,278.64 and 3,152.18 is: 4,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.60 : 10,278.64 = 3,152.18 : x
  2. Step 2: Convert to fraction form
    6,857.60/10,278.64 = 3,152.18/x
  3. Step 3: Cross multiply
    6,857.60x = 10,278.64 × 3,152.18
  4. Step 4: Simplify right side
    6,857.60x = 32,400,141.25
  5. Step 5: Solve for x
    x = 32,400,141.25/6,857.60
  6. Step 6: Final answer
    x = 4,724.70

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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.