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Finding the Fourth Proportional to 10,952.66, 16,436.90 and 4,380.68

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Solution

The fourth proportional to 10,952.66, 16,436.90 and 4,380.68 is: 6,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.66 : 16,436.90 = 4,380.68 : x
  2. Step 2: Convert to fraction form
    10,952.66/16,436.90 = 4,380.68/x
  3. Step 3: Cross multiply
    10,952.66x = 16,436.90 × 4,380.68
  4. Step 4: Simplify right side
    10,952.66x = 72,004,727.86
  5. Step 5: Solve for x
    x = 72,004,727.86/10,952.66
  6. Step 6: Final answer
    x = 6,574.18

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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.