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Finding the Fourth Proportional to 11,705.57, 16,153.70 and 6,400.47

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Solution

The fourth proportional to 11,705.57, 16,153.70 and 6,400.47 is: 8,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.57 : 16,153.70 = 6,400.47 : x
  2. Step 2: Convert to fraction form
    11,705.57/16,153.70 = 6,400.47/x
  3. Step 3: Cross multiply
    11,705.57x = 16,153.70 × 6,400.47
  4. Step 4: Simplify right side
    11,705.57x = 103,391,272.24
  5. Step 5: Solve for x
    x = 103,391,272.24/11,705.57
  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.