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Finding the Fourth Proportional to 11,688.78, 16,121.97 and 7,435.98

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Solution

The fourth proportional to 11,688.78, 16,121.97 and 7,435.98 is: 10,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.78 : 16,121.97 = 7,435.98 : x
  2. Step 2: Convert to fraction form
    11,688.78/16,121.97 = 7,435.98/x
  3. Step 3: Cross multiply
    11,688.78x = 16,121.97 × 7,435.98
  4. Step 4: Simplify right side
    11,688.78x = 119,882,646.48
  5. Step 5: Solve for x
    x = 119,882,646.48/11,688.78
  6. Step 6: Final answer
    x = 10,256.22

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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.