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Finding the Fourth Proportional to 11,884.21, 16,400.41 and 6,506.56

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Solution

The fourth proportional to 11,884.21, 16,400.41 and 6,506.56 is: 8,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.21 : 16,400.41 = 6,506.56 : x
  2. Step 2: Convert to fraction form
    11,884.21/16,400.41 = 6,506.56/x
  3. Step 3: Cross multiply
    11,884.21x = 16,400.41 × 6,506.56
  4. Step 4: Simplify right side
    11,884.21x = 106,710,261.94
  5. Step 5: Solve for x
    x = 106,710,261.94/11,884.21
  6. Step 6: Final answer
    x = 8,979.16

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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.