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Finding the Fourth Proportional to 7,415.40, 11,133.90 and 5,233.80

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Solution

The fourth proportional to 7,415.40, 11,133.90 and 5,233.80 is: 7,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.40 : 11,133.90 = 5,233.80 : x
  2. Step 2: Convert to fraction form
    7,415.40/11,133.90 = 5,233.80/x
  3. Step 3: Cross multiply
    7,415.40x = 11,133.90 × 5,233.80
  4. Step 4: Simplify right side
    7,415.40x = 58,272,605.82
  5. Step 5: Solve for x
    x = 58,272,605.82/7,415.40
  6. Step 6: Final answer
    x = 7,858.32

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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.