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Finding the Fourth Proportional to 11,335.69, 16,977.61 and 5,416.74

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Solution

The fourth proportional to 11,335.69, 16,977.61 and 5,416.74 is: 8,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,335.69 : 16,977.61 = 5,416.74 : x
  2. Step 2: Convert to fraction form
    11,335.69/16,977.61 = 5,416.74/x
  3. Step 3: Cross multiply
    11,335.69x = 16,977.61 × 5,416.74
  4. Step 4: Simplify right side
    11,335.69x = 91,963,229.66
  5. Step 5: Solve for x
    x = 91,963,229.66/11,335.69
  6. Step 6: Final answer
    x = 8,112.72

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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.