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Finding the Fourth Proportional to 6,842.12, 10,255.86 and 4,888.40

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Solution

The fourth proportional to 6,842.12, 10,255.86 and 4,888.40 is: 7,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.12 : 10,255.86 = 4,888.40 : x
  2. Step 2: Convert to fraction form
    6,842.12/10,255.86 = 4,888.40/x
  3. Step 3: Cross multiply
    6,842.12x = 10,255.86 × 4,888.40
  4. Step 4: Simplify right side
    6,842.12x = 50,134,694.74
  5. Step 5: Solve for x
    x = 50,134,694.74/6,842.12
  6. Step 6: Final answer
    x = 7,327.37

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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.