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Finding the Fourth Proportional to 10,622.80, 15,895.80 and 7,166.80

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Solution

The fourth proportional to 10,622.80, 15,895.80 and 7,166.80 is: 10,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.80 : 15,895.80 = 7,166.80 : x
  2. Step 2: Convert to fraction form
    10,622.80/15,895.80 = 7,166.80/x
  3. Step 3: Cross multiply
    10,622.80x = 15,895.80 × 7,166.80
  4. Step 4: Simplify right side
    10,622.80x = 113,922,019.44
  5. Step 5: Solve for x
    x = 113,922,019.44/10,622.80
  6. Step 6: Final answer
    x = 10,724.29

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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.