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Finding the Fourth Proportional to 10,010.65, 15,028.73 and 8,165.36

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Solution

The fourth proportional to 10,010.65, 15,028.73 and 8,165.36 is: 12,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.65 : 15,028.73 = 8,165.36 : x
  2. Step 2: Convert to fraction form
    10,010.65/15,028.73 = 8,165.36/x
  3. Step 3: Cross multiply
    10,010.65x = 15,028.73 × 8,165.36
  4. Step 4: Simplify right side
    10,010.65x = 122,714,990.79
  5. Step 5: Solve for x
    x = 122,714,990.79/10,010.65
  6. Step 6: Final answer
    x = 12,258.44

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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.