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Finding the Fourth Proportional to 11,866.40, 17,785.20 and 5,285.60

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Solution

The fourth proportional to 11,866.40, 17,785.20 and 5,285.60 is: 7,921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.40 : 17,785.20 = 5,285.60 : x
  2. Step 2: Convert to fraction form
    11,866.40/17,785.20 = 5,285.60/x
  3. Step 3: Cross multiply
    11,866.40x = 17,785.20 × 5,285.60
  4. Step 4: Simplify right side
    11,866.40x = 94,005,453.12
  5. Step 5: Solve for x
    x = 94,005,453.12/11,866.40
  6. Step 6: Final answer
    x = 7,921.99

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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.