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Finding the Fourth Proportional to 11,203.20, 16,804.32 and 3,807.60

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Solution

The fourth proportional to 11,203.20, 16,804.32 and 3,807.60 is: 5,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.20 : 16,804.32 = 3,807.60 : x
  2. Step 2: Convert to fraction form
    11,203.20/16,804.32 = 3,807.60/x
  3. Step 3: Cross multiply
    11,203.20x = 16,804.32 × 3,807.60
  4. Step 4: Simplify right side
    11,203.20x = 63,984,128.83
  5. Step 5: Solve for x
    x = 63,984,128.83/11,203.20
  6. Step 6: Final answer
    x = 5,711.24

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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.