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Finding the Fourth Proportional to 6,713.12, 9,260.88 and 5,218.40

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Solution

The fourth proportional to 6,713.12, 9,260.88 and 5,218.40 is: 7,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.12 : 9,260.88 = 5,218.40 : x
  2. Step 2: Convert to fraction form
    6,713.12/9,260.88 = 5,218.40/x
  3. Step 3: Cross multiply
    6,713.12x = 9,260.88 × 5,218.40
  4. Step 4: Simplify right side
    6,713.12x = 48,326,976.19
  5. Step 5: Solve for x
    x = 48,326,976.19/6,713.12
  6. Step 6: Final answer
    x = 7,198.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.