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Finding the Fourth Proportional to 11,718.46, 16,173.03 and 7,538.86

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Solution

The fourth proportional to 11,718.46, 16,173.03 and 7,538.86 is: 10,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.46 : 16,173.03 = 7,538.86 : x
  2. Step 2: Convert to fraction form
    11,718.46/16,173.03 = 7,538.86/x
  3. Step 3: Cross multiply
    11,718.46x = 16,173.03 × 7,538.86
  4. Step 4: Simplify right side
    11,718.46x = 121,926,208.95
  5. Step 5: Solve for x
    x = 121,926,208.95/11,718.46
  6. Step 6: Final answer
    x = 10,404.63

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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.