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Finding the Fourth Proportional to 7,309.36, 10,962.80 and 2,114

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Solution

The fourth proportional to 7,309.36, 10,962.80 and 2,114 is: 3,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.36 : 10,962.80 = 2,114 : x
  2. Step 2: Convert to fraction form
    7,309.36/10,962.80 = 2,114/x
  3. Step 3: Cross multiply
    7,309.36x = 10,962.80 × 2,114
  4. Step 4: Simplify right side
    7,309.36x = 23,175,359.20
  5. Step 5: Solve for x
    x = 23,175,359.20/7,309.36
  6. Step 6: Final answer
    x = 3,170.64

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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.