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Finding the Fourth Proportional to 7,461.40, 11,213.70 and 7,331.80

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Solution

The fourth proportional to 7,461.40, 11,213.70 and 7,331.80 is: 11,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.40 : 11,213.70 = 7,331.80 : x
  2. Step 2: Convert to fraction form
    7,461.40/11,213.70 = 7,331.80/x
  3. Step 3: Cross multiply
    7,461.40x = 11,213.70 × 7,331.80
  4. Step 4: Simplify right side
    7,461.40x = 82,216,605.66
  5. Step 5: Solve for x
    x = 82,216,605.66/7,461.40
  6. Step 6: Final answer
    x = 11,018.92

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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.