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Finding the Fourth Proportional to 7,493.16, 10,340.67 and 4,136.13

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Solution

The fourth proportional to 7,493.16, 10,340.67 and 4,136.13 is: 5,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.16 : 10,340.67 = 4,136.13 : x
  2. Step 2: Convert to fraction form
    7,493.16/10,340.67 = 4,136.13/x
  3. Step 3: Cross multiply
    7,493.16x = 10,340.67 × 4,136.13
  4. Step 4: Simplify right side
    7,493.16x = 42,770,355.41
  5. Step 5: Solve for x
    x = 42,770,355.41/7,493.16
  6. Step 6: Final answer
    x = 5,707.92

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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.