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Finding the Fourth Proportional to 11,878.50, 16,391.52 and 6,573

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Solution

The fourth proportional to 11,878.50, 16,391.52 and 6,573 is: 9,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.50 : 16,391.52 = 6,573 : x
  2. Step 2: Convert to fraction form
    11,878.50/16,391.52 = 6,573/x
  3. Step 3: Cross multiply
    11,878.50x = 16,391.52 × 6,573
  4. Step 4: Simplify right side
    11,878.50x = 107,741,460.96
  5. Step 5: Solve for x
    x = 107,741,460.96/11,878.50
  6. Step 6: Final answer
    x = 9,070.29

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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.