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Finding the Fourth Proportional to 10,387.64, 15,571.44 and 4,468.77

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Solution

The fourth proportional to 10,387.64, 15,571.44 and 4,468.77 is: 6,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.64 : 15,571.44 = 4,468.77 : x
  2. Step 2: Convert to fraction form
    10,387.64/15,571.44 = 4,468.77/x
  3. Step 3: Cross multiply
    10,387.64x = 15,571.44 × 4,468.77
  4. Step 4: Simplify right side
    10,387.64x = 69,585,183.93
  5. Step 5: Solve for x
    x = 69,585,183.93/10,387.64
  6. Step 6: Final answer
    x = 6,698.84

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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.