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Finding the Fourth Proportional to 11,929.19, 16,469.87 and 8,158.64

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Solution

The fourth proportional to 11,929.19, 16,469.87 and 8,158.64 is: 11,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.19 : 16,469.87 = 8,158.64 : x
  2. Step 2: Convert to fraction form
    11,929.19/16,469.87 = 8,158.64/x
  3. Step 3: Cross multiply
    11,929.19x = 16,469.87 × 8,158.64
  4. Step 4: Simplify right side
    11,929.19x = 134,371,617.03
  5. Step 5: Solve for x
    x = 134,371,617.03/11,929.19
  6. Step 6: Final answer
    x = 11,264.11

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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.