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Finding the Fourth Proportional to 11,159.86, 16,744.01 and 5,894.66

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Solution

The fourth proportional to 11,159.86, 16,744.01 and 5,894.66 is: 8,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.86 : 16,744.01 = 5,894.66 : x
  2. Step 2: Convert to fraction form
    11,159.86/16,744.01 = 5,894.66/x
  3. Step 3: Cross multiply
    11,159.86x = 16,744.01 × 5,894.66
  4. Step 4: Simplify right side
    11,159.86x = 98,700,180.77
  5. Step 5: Solve for x
    x = 98,700,180.77/11,159.86
  6. Step 6: Final answer
    x = 8,844.21

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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.