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Finding the Fourth Proportional to 11,840.16, 17,757.80 and 4,444.32

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Solution

The fourth proportional to 11,840.16, 17,757.80 and 4,444.32 is: 6,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.16 : 17,757.80 = 4,444.32 : x
  2. Step 2: Convert to fraction form
    11,840.16/17,757.80 = 4,444.32/x
  3. Step 3: Cross multiply
    11,840.16x = 17,757.80 × 4,444.32
  4. Step 4: Simplify right side
    11,840.16x = 78,921,345.70
  5. Step 5: Solve for x
    x = 78,921,345.70/11,840.16
  6. Step 6: Final answer
    x = 6,665.56

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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.