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Finding the Fourth Proportional to 7,108.26, 10,662.35 and 2,428.80

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Solution

The fourth proportional to 7,108.26, 10,662.35 and 2,428.80 is: 3,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.26 : 10,662.35 = 2,428.80 : x
  2. Step 2: Convert to fraction form
    7,108.26/10,662.35 = 2,428.80/x
  3. Step 3: Cross multiply
    7,108.26x = 10,662.35 × 2,428.80
  4. Step 4: Simplify right side
    7,108.26x = 25,896,703.54
  5. Step 5: Solve for x
    x = 25,896,703.54/7,108.26
  6. Step 6: Final answer
    x = 3,643.18

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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.