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Finding the Fourth Proportional to 10,028.84, 15,029.46 and 8,540.36

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Solution

The fourth proportional to 10,028.84, 15,029.46 and 8,540.36 is: 12,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.84 : 15,029.46 = 8,540.36 : x
  2. Step 2: Convert to fraction form
    10,028.84/15,029.46 = 8,540.36/x
  3. Step 3: Cross multiply
    10,028.84x = 15,029.46 × 8,540.36
  4. Step 4: Simplify right side
    10,028.84x = 128,356,999.01
  5. Step 5: Solve for x
    x = 128,356,999.01/10,028.84
  6. Step 6: Final answer
    x = 12,798.79

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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.