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Finding the Fourth Proportional to 11,760.88, 17,641.76 and 4,367.20

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Solution

The fourth proportional to 11,760.88, 17,641.76 and 4,367.20 is: 6,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.88 : 17,641.76 = 4,367.20 : x
  2. Step 2: Convert to fraction form
    11,760.88/17,641.76 = 4,367.20/x
  3. Step 3: Cross multiply
    11,760.88x = 17,641.76 × 4,367.20
  4. Step 4: Simplify right side
    11,760.88x = 77,045,094.27
  5. Step 5: Solve for x
    x = 77,045,094.27/11,760.88
  6. Step 6: Final answer
    x = 6,550.96

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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.