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Finding the Fourth Proportional to 10,400.84, 14,353.22 and 5,685.23

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Solution

The fourth proportional to 10,400.84, 14,353.22 and 5,685.23 is: 7,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.84 : 14,353.22 = 5,685.23 : x
  2. Step 2: Convert to fraction form
    10,400.84/14,353.22 = 5,685.23/x
  3. Step 3: Cross multiply
    10,400.84x = 14,353.22 × 5,685.23
  4. Step 4: Simplify right side
    10,400.84x = 81,601,356.94
  5. Step 5: Solve for x
    x = 81,601,356.94/10,400.84
  6. Step 6: Final answer
    x = 7,845.65

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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.