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Finding the Fourth Proportional to 11,840.64, 17,760.34 and 4,444.53

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Solution

The fourth proportional to 11,840.64, 17,760.34 and 4,444.53 is: 6,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.64 : 17,760.34 = 4,444.53 : x
  2. Step 2: Convert to fraction form
    11,840.64/17,760.34 = 4,444.53/x
  3. Step 3: Cross multiply
    11,840.64x = 17,760.34 × 4,444.53
  4. Step 4: Simplify right side
    11,840.64x = 78,936,363.94
  5. Step 5: Solve for x
    x = 78,936,363.94/11,840.64
  6. Step 6: Final answer
    x = 6,666.56

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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.