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Finding the Fourth Proportional to 11,884.16, 16,420.56 and 11,463.68

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Solution

The fourth proportional to 11,884.16, 16,420.56 and 11,463.68 is: 15,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.16 : 16,420.56 = 11,463.68 : x
  2. Step 2: Convert to fraction form
    11,884.16/16,420.56 = 11,463.68/x
  3. Step 3: Cross multiply
    11,884.16x = 16,420.56 × 11,463.68
  4. Step 4: Simplify right side
    11,884.16x = 188,240,045.26
  5. Step 5: Solve for x
    x = 188,240,045.26/11,884.16
  6. Step 6: Final answer
    x = 15,839.58

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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.