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Finding the Fourth Proportional to 11,888.11, 16,405.44 and 6,510.49

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Solution

The fourth proportional to 11,888.11, 16,405.44 and 6,510.49 is: 8,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.11 : 16,405.44 = 6,510.49 : x
  2. Step 2: Convert to fraction form
    11,888.11/16,405.44 = 6,510.49/x
  3. Step 3: Cross multiply
    11,888.11x = 16,405.44 × 6,510.49
  4. Step 4: Simplify right side
    11,888.11x = 106,807,338.49
  5. Step 5: Solve for x
    x = 106,807,338.49/11,888.11
  6. Step 6: Final answer
    x = 8,984.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.