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Finding the Fourth Proportional to 10,151.46, 15,216.80 and 5,759.64

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Solution

The fourth proportional to 10,151.46, 15,216.80 and 5,759.64 is: 8,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.46 : 15,216.80 = 5,759.64 : x
  2. Step 2: Convert to fraction form
    10,151.46/15,216.80 = 5,759.64/x
  3. Step 3: Cross multiply
    10,151.46x = 15,216.80 × 5,759.64
  4. Step 4: Simplify right side
    10,151.46x = 87,643,261.15
  5. Step 5: Solve for x
    x = 87,643,261.15/10,151.46
  6. Step 6: Final answer
    x = 8,633.56

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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.