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Finding the Fourth Proportional to 11,886.07, 16,406.90 and 7,352.22

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Solution

The fourth proportional to 11,886.07, 16,406.90 and 7,352.22 is: 10,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.07 : 16,406.90 = 7,352.22 : x
  2. Step 2: Convert to fraction form
    11,886.07/16,406.90 = 7,352.22/x
  3. Step 3: Cross multiply
    11,886.07x = 16,406.90 × 7,352.22
  4. Step 4: Simplify right side
    11,886.07x = 120,627,138.32
  5. Step 5: Solve for x
    x = 120,627,138.32/11,886.07
  6. Step 6: Final answer
    x = 10,148.61

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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.