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Finding the Fourth Proportional to 7,114.32, 10,671.47 and 1,920.20

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Solution

The fourth proportional to 7,114.32, 10,671.47 and 1,920.20 is: 2,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.32 : 10,671.47 = 1,920.20 : x
  2. Step 2: Convert to fraction form
    7,114.32/10,671.47 = 1,920.20/x
  3. Step 3: Cross multiply
    7,114.32x = 10,671.47 × 1,920.20
  4. Step 4: Simplify right side
    7,114.32x = 20,491,293.74
  5. Step 5: Solve for x
    x = 20,491,293.74/7,114.32
  6. Step 6: Final answer
    x = 2,880.29

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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.