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Finding the Fourth Proportional to 7,108.32, 10,662.24 and 1,914

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Solution

The fourth proportional to 7,108.32, 10,662.24 and 1,914 is: 2,870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.32 : 10,662.24 = 1,914 : x
  2. Step 2: Convert to fraction form
    7,108.32/10,662.24 = 1,914/x
  3. Step 3: Cross multiply
    7,108.32x = 10,662.24 × 1,914
  4. Step 4: Simplify right side
    7,108.32x = 20,407,527.36
  5. Step 5: Solve for x
    x = 20,407,527.36/7,108.32
  6. Step 6: Final answer
    x = 2,870.94

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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.