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Finding the Fourth Proportional to 7,114.34, 10,671.52 and 1,920.22

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Solution

The fourth proportional to 7,114.34, 10,671.52 and 1,920.22 is: 2,880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.34 : 10,671.52 = 1,920.22 : x
  2. Step 2: Convert to fraction form
    7,114.34/10,671.52 = 1,920.22/x
  3. Step 3: Cross multiply
    7,114.34x = 10,671.52 × 1,920.22
  4. Step 4: Simplify right side
    7,114.34x = 20,491,666.13
  5. Step 5: Solve for x
    x = 20,491,666.13/7,114.34
  6. Step 6: Final answer
    x = 2,880.33

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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.