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Finding the Fourth Proportional to 11,309.10, 16,963.65 and 3,101.10

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Solution

The fourth proportional to 11,309.10, 16,963.65 and 3,101.10 is: 4,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.10 : 16,963.65 = 3,101.10 : x
  2. Step 2: Convert to fraction form
    11,309.10/16,963.65 = 3,101.10/x
  3. Step 3: Cross multiply
    11,309.10x = 16,963.65 × 3,101.10
  4. Step 4: Simplify right side
    11,309.10x = 52,605,975.02
  5. Step 5: Solve for x
    x = 52,605,975.02/11,309.10
  6. Step 6: Final answer
    x = 4,651.65

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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.