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Finding the Fourth Proportional to 10,464.24, 15,674.76 and 8,387.76

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Solution

The fourth proportional to 10,464.24, 15,674.76 and 8,387.76 is: 12,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.24 : 15,674.76 = 8,387.76 : x
  2. Step 2: Convert to fraction form
    10,464.24/15,674.76 = 8,387.76/x
  3. Step 3: Cross multiply
    10,464.24x = 15,674.76 × 8,387.76
  4. Step 4: Simplify right side
    10,464.24x = 131,476,124.94
  5. Step 5: Solve for x
    x = 131,476,124.94/10,464.24
  6. Step 6: Final answer
    x = 12,564.33

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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.