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Finding the Fourth Proportional to 10,193.74, 14,064.04 and 5,943.84

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Solution

The fourth proportional to 10,193.74, 14,064.04 and 5,943.84 is: 8,200.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.74 : 14,064.04 = 5,943.84 : x
  2. Step 2: Convert to fraction form
    10,193.74/14,064.04 = 5,943.84/x
  3. Step 3: Cross multiply
    10,193.74x = 14,064.04 × 5,943.84
  4. Step 4: Simplify right side
    10,193.74x = 83,594,403.51
  5. Step 5: Solve for x
    x = 83,594,403.51/10,193.74
  6. Step 6: Final answer
    x = 8,200.56

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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.