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Finding the Fourth Proportional to 10,228.62, 14,054.33 and 8,129.10

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Solution

The fourth proportional to 10,228.62, 14,054.33 and 8,129.10 is: 11,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.62 : 14,054.33 = 8,129.10 : x
  2. Step 2: Convert to fraction form
    10,228.62/14,054.33 = 8,129.10/x
  3. Step 3: Cross multiply
    10,228.62x = 14,054.33 × 8,129.10
  4. Step 4: Simplify right side
    10,228.62x = 114,249,013.36
  5. Step 5: Solve for x
    x = 114,249,013.36/10,228.62
  6. Step 6: Final answer
    x = 11,169.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.