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Finding the Fourth Proportional to 10,954.08, 16,429.28 and 5,029.16

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Solution

The fourth proportional to 10,954.08, 16,429.28 and 5,029.16 is: 7,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.08 : 16,429.28 = 5,029.16 : x
  2. Step 2: Convert to fraction form
    10,954.08/16,429.28 = 5,029.16/x
  3. Step 3: Cross multiply
    10,954.08x = 16,429.28 × 5,029.16
  4. Step 4: Simplify right side
    10,954.08x = 82,625,370.51
  5. Step 5: Solve for x
    x = 82,625,370.51/10,954.08
  6. Step 6: Final answer
    x = 7,542.89

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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.