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Finding the Fourth Proportional to 11,403.84, 15,733.60 and 6,367.24

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Solution

The fourth proportional to 11,403.84, 15,733.60 and 6,367.24 is: 8,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.84 : 15,733.60 = 6,367.24 : x
  2. Step 2: Convert to fraction form
    11,403.84/15,733.60 = 6,367.24/x
  3. Step 3: Cross multiply
    11,403.84x = 15,733.60 × 6,367.24
  4. Step 4: Simplify right side
    11,403.84x = 100,179,607.26
  5. Step 5: Solve for x
    x = 100,179,607.26/11,403.84
  6. Step 6: Final answer
    x = 8,784.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.