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Finding the Fourth Proportional to 11,705.91, 16,154.16 and 6,400.77

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Solution

The fourth proportional to 11,705.91, 16,154.16 and 6,400.77 is: 8,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.91 : 16,154.16 = 6,400.77 : x
  2. Step 2: Convert to fraction form
    11,705.91/16,154.16 = 6,400.77/x
  3. Step 3: Cross multiply
    11,705.91x = 16,154.16 × 6,400.77
  4. Step 4: Simplify right side
    11,705.91x = 103,399,062.70
  5. Step 5: Solve for x
    x = 103,399,062.70/11,705.91
  6. Step 6: Final answer
    x = 8,833.06

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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.