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Finding the Fourth Proportional to 11,840.48, 17,760.02 and 4,444.31

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Solution

The fourth proportional to 11,840.48, 17,760.02 and 4,444.31 is: 6,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.48 : 17,760.02 = 4,444.31 : x
  2. Step 2: Convert to fraction form
    11,840.48/17,760.02 = 4,444.31/x
  3. Step 3: Cross multiply
    11,840.48x = 17,760.02 × 4,444.31
  4. Step 4: Simplify right side
    11,840.48x = 78,931,056.66
  5. Step 5: Solve for x
    x = 78,931,056.66/11,840.48
  6. Step 6: Final answer
    x = 6,666.21

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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.