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Finding the Fourth Proportional to 6,853.60, 10,281.12 and 2,236

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Solution

The fourth proportional to 6,853.60, 10,281.12 and 2,236 is: 3,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.60 : 10,281.12 = 2,236 : x
  2. Step 2: Convert to fraction form
    6,853.60/10,281.12 = 2,236/x
  3. Step 3: Cross multiply
    6,853.60x = 10,281.12 × 2,236
  4. Step 4: Simplify right side
    6,853.60x = 22,988,584.32
  5. Step 5: Solve for x
    x = 22,988,584.32/6,853.60
  6. Step 6: Final answer
    x = 3,354.23

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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.