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Finding the Fourth Proportional to 11,498.40, 17,232.71 and 4,827.33

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Solution

The fourth proportional to 11,498.40, 17,232.71 and 4,827.33 is: 7,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.40 : 17,232.71 = 4,827.33 : x
  2. Step 2: Convert to fraction form
    11,498.40/17,232.71 = 4,827.33/x
  3. Step 3: Cross multiply
    11,498.40x = 17,232.71 × 4,827.33
  4. Step 4: Simplify right side
    11,498.40x = 83,187,953.83
  5. Step 5: Solve for x
    x = 83,187,953.83/11,498.40
  6. Step 6: Final answer
    x = 7,234.74

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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.