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Finding the Fourth Proportional to 11,705.56, 16,153.71 and 6,400.46

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Solution

The fourth proportional to 11,705.56, 16,153.71 and 6,400.46 is: 8,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.56 : 16,153.71 = 6,400.46 : x
  2. Step 2: Convert to fraction form
    11,705.56/16,153.71 = 6,400.46/x
  3. Step 3: Cross multiply
    11,705.56x = 16,153.71 × 6,400.46
  4. Step 4: Simplify right side
    11,705.56x = 103,391,174.71
  5. Step 5: Solve for x
    x = 103,391,174.71/11,705.56
  6. Step 6: Final answer
    x = 8,832.66

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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.