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Finding the Fourth Proportional to 7,478.20, 10,314.02 and 6,975.19

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Solution

The fourth proportional to 7,478.20, 10,314.02 and 6,975.19 is: 9,620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.20 : 10,314.02 = 6,975.19 : x
  2. Step 2: Convert to fraction form
    7,478.20/10,314.02 = 6,975.19/x
  3. Step 3: Cross multiply
    7,478.20x = 10,314.02 × 6,975.19
  4. Step 4: Simplify right side
    7,478.20x = 71,942,162.72
  5. Step 5: Solve for x
    x = 71,942,162.72/7,478.20
  6. Step 6: Final answer
    x = 9,620.26

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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.