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Finding the Fourth Proportional to 7,114.20, 10,671.30 and 5,645.40

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Solution

The fourth proportional to 7,114.20, 10,671.30 and 5,645.40 is: 8,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.20 : 10,671.30 = 5,645.40 : x
  2. Step 2: Convert to fraction form
    7,114.20/10,671.30 = 5,645.40/x
  3. Step 3: Cross multiply
    7,114.20x = 10,671.30 × 5,645.40
  4. Step 4: Simplify right side
    7,114.20x = 60,243,757.02
  5. Step 5: Solve for x
    x = 60,243,757.02/7,114.20
  6. Step 6: Final answer
    x = 8,468.10

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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.