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Finding the Fourth Proportional to 11,333.72, 16,975.92 and 5,478

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Solution

The fourth proportional to 11,333.72, 16,975.92 and 5,478 is: 8,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.72 : 16,975.92 = 5,478 : x
  2. Step 2: Convert to fraction form
    11,333.72/16,975.92 = 5,478/x
  3. Step 3: Cross multiply
    11,333.72x = 16,975.92 × 5,478
  4. Step 4: Simplify right side
    11,333.72x = 92,994,089.76
  5. Step 5: Solve for x
    x = 92,994,089.76/11,333.72
  6. Step 6: Final answer
    x = 8,205.08

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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.