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Finding the Fourth Proportional to 10,221.64, 15,317.94 and 7,872.76

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Solution

The fourth proportional to 10,221.64, 15,317.94 and 7,872.76 is: 11,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.64 : 15,317.94 = 7,872.76 : x
  2. Step 2: Convert to fraction form
    10,221.64/15,317.94 = 7,872.76/x
  3. Step 3: Cross multiply
    10,221.64x = 15,317.94 × 7,872.76
  4. Step 4: Simplify right side
    10,221.64x = 120,594,465.31
  5. Step 5: Solve for x
    x = 120,594,465.31/10,221.64
  6. Step 6: Final answer
    x = 11,797.96

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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.