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Finding the Fourth Proportional to 10,637.86, 14,680.83 and 5,922.04

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Solution

The fourth proportional to 10,637.86, 14,680.83 and 5,922.04 is: 8,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.86 : 14,680.83 = 5,922.04 : x
  2. Step 2: Convert to fraction form
    10,637.86/14,680.83 = 5,922.04/x
  3. Step 3: Cross multiply
    10,637.86x = 14,680.83 × 5,922.04
  4. Step 4: Simplify right side
    10,637.86x = 86,940,462.49
  5. Step 5: Solve for x
    x = 86,940,462.49/10,637.86
  6. Step 6: Final answer
    x = 8,172.74

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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.