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Finding the Fourth Proportional to 7,114.40, 10,671.60 and 3,214.26

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Solution

The fourth proportional to 7,114.40, 10,671.60 and 3,214.26 is: 4,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.40 : 10,671.60 = 3,214.26 : x
  2. Step 2: Convert to fraction form
    7,114.40/10,671.60 = 3,214.26/x
  3. Step 3: Cross multiply
    7,114.40x = 10,671.60 × 3,214.26
  4. Step 4: Simplify right side
    7,114.40x = 34,301,297.02
  5. Step 5: Solve for x
    x = 34,301,297.02/7,114.40
  6. Step 6: Final answer
    x = 4,821.39

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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.