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Finding the Fourth Proportional to 11,641.48, 16,072.50 and 8,103.40

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Solution

The fourth proportional to 11,641.48, 16,072.50 and 8,103.40 is: 11,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.48 : 16,072.50 = 8,103.40 : x
  2. Step 2: Convert to fraction form
    11,641.48/16,072.50 = 8,103.40/x
  3. Step 3: Cross multiply
    11,641.48x = 16,072.50 × 8,103.40
  4. Step 4: Simplify right side
    11,641.48x = 130,241,896.50
  5. Step 5: Solve for x
    x = 130,241,896.50/11,641.48
  6. Step 6: Final answer
    x = 11,187.74

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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.