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Finding the Fourth Proportional to 11,886.68, 16,393.38 and 7,405.76

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Solution

The fourth proportional to 11,886.68, 16,393.38 and 7,405.76 is: 10,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.68 : 16,393.38 = 7,405.76 : x
  2. Step 2: Convert to fraction form
    11,886.68/16,393.38 = 7,405.76/x
  3. Step 3: Cross multiply
    11,886.68x = 16,393.38 × 7,405.76
  4. Step 4: Simplify right side
    11,886.68x = 121,405,437.87
  5. Step 5: Solve for x
    x = 121,405,437.87/11,886.68
  6. Step 6: Final answer
    x = 10,213.57

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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.