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Finding the Fourth Proportional to 10,922.10, 16,358.85 and 9,464.10

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Solution

The fourth proportional to 10,922.10, 16,358.85 and 9,464.10 is: 14,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.10 : 16,358.85 = 9,464.10 : x
  2. Step 2: Convert to fraction form
    10,922.10/16,358.85 = 9,464.10/x
  3. Step 3: Cross multiply
    10,922.10x = 16,358.85 × 9,464.10
  4. Step 4: Simplify right side
    10,922.10x = 154,821,792.29
  5. Step 5: Solve for x
    x = 154,821,792.29/10,922.10
  6. Step 6: Final answer
    x = 14,175.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.