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Finding the Fourth Proportional to 10,650.87, 14,673.69 and 8,411.94

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Solution

The fourth proportional to 10,650.87, 14,673.69 and 8,411.94 is: 11,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.87 : 14,673.69 = 8,411.94 : x
  2. Step 2: Convert to fraction form
    10,650.87/14,673.69 = 8,411.94/x
  3. Step 3: Cross multiply
    10,650.87x = 14,673.69 × 8,411.94
  4. Step 4: Simplify right side
    10,650.87x = 123,434,199.86
  5. Step 5: Solve for x
    x = 123,434,199.86/10,650.87
  6. Step 6: Final answer
    x = 11,589.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.