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Finding the Fourth Proportional to 8,233.40, 12,314.10 and 7,362.20

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Solution

The fourth proportional to 8,233.40, 12,314.10 and 7,362.20 is: 11,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.40 : 12,314.10 = 7,362.20 : x
  2. Step 2: Convert to fraction form
    8,233.40/12,314.10 = 7,362.20/x
  3. Step 3: Cross multiply
    8,233.40x = 12,314.10 × 7,362.20
  4. Step 4: Simplify right side
    8,233.40x = 90,658,867.02
  5. Step 5: Solve for x
    x = 90,658,867.02/8,233.40
  6. Step 6: Final answer
    x = 11,011.11

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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.