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Finding the Fourth Proportional to 10,028.08, 13,825.92 and 6,878.80

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Solution

The fourth proportional to 10,028.08, 13,825.92 and 6,878.80 is: 9,483.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.08 : 13,825.92 = 6,878.80 : x
  2. Step 2: Convert to fraction form
    10,028.08/13,825.92 = 6,878.80/x
  3. Step 3: Cross multiply
    10,028.08x = 13,825.92 × 6,878.80
  4. Step 4: Simplify right side
    10,028.08x = 95,105,738.50
  5. Step 5: Solve for x
    x = 95,105,738.50/10,028.08
  6. Step 6: Final answer
    x = 9,483.94

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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.