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Finding the Fourth Proportional to 11,840.40, 17,760.60 and 7,466.40

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Solution

The fourth proportional to 11,840.40, 17,760.60 and 7,466.40 is: 11,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.40 : 17,760.60 = 7,466.40 : x
  2. Step 2: Convert to fraction form
    11,840.40/17,760.60 = 7,466.40/x
  3. Step 3: Cross multiply
    11,840.40x = 17,760.60 × 7,466.40
  4. Step 4: Simplify right side
    11,840.40x = 132,607,743.84
  5. Step 5: Solve for x
    x = 132,607,743.84/11,840.40
  6. Step 6: Final answer
    x = 11,199.60

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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.