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Finding the Fourth Proportional to 11,776.86, 16,252.07 and 6,471.99

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Solution

The fourth proportional to 11,776.86, 16,252.07 and 6,471.99 is: 8,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.86 : 16,252.07 = 6,471.99 : x
  2. Step 2: Convert to fraction form
    11,776.86/16,252.07 = 6,471.99/x
  3. Step 3: Cross multiply
    11,776.86x = 16,252.07 × 6,471.99
  4. Step 4: Simplify right side
    11,776.86x = 105,183,234.52
  5. Step 5: Solve for x
    x = 105,183,234.52/11,776.86
  6. Step 6: Final answer
    x = 8,931.35

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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.