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Finding the Fourth Proportional to 11,889.76, 16,392.34 and 7,405.74

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Solution

The fourth proportional to 11,889.76, 16,392.34 and 7,405.74 is: 10,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.76 : 16,392.34 = 7,405.74 : x
  2. Step 2: Convert to fraction form
    11,889.76/16,392.34 = 7,405.74/x
  3. Step 3: Cross multiply
    11,889.76x = 16,392.34 × 7,405.74
  4. Step 4: Simplify right side
    11,889.76x = 121,397,408.03
  5. Step 5: Solve for x
    x = 121,397,408.03/11,889.76
  6. Step 6: Final answer
    x = 10,210.25

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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.