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Finding the Fourth Proportional to 7,415.40, 11,123.12 and 6,022.12

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Solution

The fourth proportional to 7,415.40, 11,123.12 and 6,022.12 is: 9,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.40 : 11,123.12 = 6,022.12 : x
  2. Step 2: Convert to fraction form
    7,415.40/11,123.12 = 6,022.12/x
  3. Step 3: Cross multiply
    7,415.40x = 11,123.12 × 6,022.12
  4. Step 4: Simplify right side
    7,415.40x = 66,984,763.41
  5. Step 5: Solve for x
    x = 66,984,763.41/7,415.40
  6. Step 6: Final answer
    x = 9,033.20

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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.