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Finding the Fourth Proportional to 10,285.08, 15,422.22 and 5,342.64

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Solution

The fourth proportional to 10,285.08, 15,422.22 and 5,342.64 is: 8,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.08 : 15,422.22 = 5,342.64 : x
  2. Step 2: Convert to fraction form
    10,285.08/15,422.22 = 5,342.64/x
  3. Step 3: Cross multiply
    10,285.08x = 15,422.22 × 5,342.64
  4. Step 4: Simplify right side
    10,285.08x = 82,395,369.46
  5. Step 5: Solve for x
    x = 82,395,369.46/10,285.08
  6. Step 6: Final answer
    x = 8,011.15

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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.