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Finding the Fourth Proportional to 11,703.48, 16,161.30 and 10,887

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Solution

The fourth proportional to 11,703.48, 16,161.30 and 10,887 is: 15,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.48 : 16,161.30 = 10,887 : x
  2. Step 2: Convert to fraction form
    11,703.48/16,161.30 = 10,887/x
  3. Step 3: Cross multiply
    11,703.48x = 16,161.30 × 10,887
  4. Step 4: Simplify right side
    11,703.48x = 175,948,073.10
  5. Step 5: Solve for x
    x = 175,948,073.10/11,703.48
  6. Step 6: Final answer
    x = 15,033.83

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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.