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Finding the Fourth Proportional to 7,142.33, 10,717.93 and 3,444.94

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Solution

The fourth proportional to 7,142.33, 10,717.93 and 3,444.94 is: 5,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.33 : 10,717.93 = 3,444.94 : x
  2. Step 2: Convert to fraction form
    7,142.33/10,717.93 = 3,444.94/x
  3. Step 3: Cross multiply
    7,142.33x = 10,717.93 × 3,444.94
  4. Step 4: Simplify right side
    7,142.33x = 36,922,625.77
  5. Step 5: Solve for x
    x = 36,922,625.77/7,142.33
  6. Step 6: Final answer
    x = 5,169.55

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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.