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Finding the Fourth Proportional to 11,077.80, 16,605.90 and 9,911.40

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Solution

The fourth proportional to 11,077.80, 16,605.90 and 9,911.40 is: 14,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.80 : 16,605.90 = 9,911.40 : x
  2. Step 2: Convert to fraction form
    11,077.80/16,605.90 = 9,911.40/x
  3. Step 3: Cross multiply
    11,077.80x = 16,605.90 × 9,911.40
  4. Step 4: Simplify right side
    11,077.80x = 164,587,717.26
  5. Step 5: Solve for x
    x = 164,587,717.26/11,077.80
  6. Step 6: Final answer
    x = 14,857.44

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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.