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Finding the Fourth Proportional to 7,331.40, 11,018.70 and 7,201.80

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Solution

The fourth proportional to 7,331.40, 11,018.70 and 7,201.80 is: 10,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.40 : 11,018.70 = 7,201.80 : x
  2. Step 2: Convert to fraction form
    7,331.40/11,018.70 = 7,201.80/x
  3. Step 3: Cross multiply
    7,331.40x = 11,018.70 × 7,201.80
  4. Step 4: Simplify right side
    7,331.40x = 79,354,473.66
  5. Step 5: Solve for x
    x = 79,354,473.66/7,331.40
  6. Step 6: Final answer
    x = 10,823.92

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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.