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Finding the Fourth Proportional to 7,116.17, 10,674.14 and 1,922.04

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Solution

The fourth proportional to 7,116.17, 10,674.14 and 1,922.04 is: 2,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.17 : 10,674.14 = 1,922.04 : x
  2. Step 2: Convert to fraction form
    7,116.17/10,674.14 = 1,922.04/x
  3. Step 3: Cross multiply
    7,116.17x = 10,674.14 × 1,922.04
  4. Step 4: Simplify right side
    7,116.17x = 20,516,124.05
  5. Step 5: Solve for x
    x = 20,516,124.05/7,116.17
  6. Step 6: Final answer
    x = 2,883.03

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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.