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Finding the Fourth Proportional to 6,878.46, 10,313.12 and 3,548.75

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Solution

The fourth proportional to 6,878.46, 10,313.12 and 3,548.75 is: 5,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.46 : 10,313.12 = 3,548.75 : x
  2. Step 2: Convert to fraction form
    6,878.46/10,313.12 = 3,548.75/x
  3. Step 3: Cross multiply
    6,878.46x = 10,313.12 × 3,548.75
  4. Step 4: Simplify right side
    6,878.46x = 36,598,615.29
  5. Step 5: Solve for x
    x = 36,598,615.29/6,878.46
  6. Step 6: Final answer
    x = 5,320.76

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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.