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Finding the Fourth Proportional to 7,106.48, 10,659.71 and 1,912.36

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Solution

The fourth proportional to 7,106.48, 10,659.71 and 1,912.36 is: 2,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.48 : 10,659.71 = 1,912.36 : x
  2. Step 2: Convert to fraction form
    7,106.48/10,659.71 = 1,912.36/x
  3. Step 3: Cross multiply
    7,106.48x = 10,659.71 × 1,912.36
  4. Step 4: Simplify right side
    7,106.48x = 20,385,149.72
  5. Step 5: Solve for x
    x = 20,385,149.72/7,106.48
  6. Step 6: Final answer
    x = 2,868.53

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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.