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Finding the Fourth Proportional to 10,225.59, 15,322.67 and 6,057.31

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Solution

The fourth proportional to 10,225.59, 15,322.67 and 6,057.31 is: 9,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.59 : 15,322.67 = 6,057.31 : x
  2. Step 2: Convert to fraction form
    10,225.59/15,322.67 = 6,057.31/x
  3. Step 3: Cross multiply
    10,225.59x = 15,322.67 × 6,057.31
  4. Step 4: Simplify right side
    10,225.59x = 92,814,101.97
  5. Step 5: Solve for x
    x = 92,814,101.97/10,225.59
  6. Step 6: Final answer
    x = 9,076.65

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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.