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Finding the Fourth Proportional to 11,878.10, 16,391.09 and 6,572.60

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Solution

The fourth proportional to 11,878.10, 16,391.09 and 6,572.60 is: 9,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.10 : 16,391.09 = 6,572.60 : x
  2. Step 2: Convert to fraction form
    11,878.10/16,391.09 = 6,572.60/x
  3. Step 3: Cross multiply
    11,878.10x = 16,391.09 × 6,572.60
  4. Step 4: Simplify right side
    11,878.10x = 107,731,963.32
  5. Step 5: Solve for x
    x = 107,731,963.32/11,878.10
  6. Step 6: Final answer
    x = 9,069.80

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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.