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Finding the Fourth Proportional to 10,455.78, 15,682.38 and 3,060.16

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Solution

The fourth proportional to 10,455.78, 15,682.38 and 3,060.16 is: 4,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.78 : 15,682.38 = 3,060.16 : x
  2. Step 2: Convert to fraction form
    10,455.78/15,682.38 = 3,060.16/x
  3. Step 3: Cross multiply
    10,455.78x = 15,682.38 × 3,060.16
  4. Step 4: Simplify right side
    10,455.78x = 47,990,591.98
  5. Step 5: Solve for x
    x = 47,990,591.98/10,455.78
  6. Step 6: Final answer
    x = 4,589.86

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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.