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Finding the Fourth Proportional to 7,133.68, 9,846.66 and 5,008.24

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Solution

The fourth proportional to 7,133.68, 9,846.66 and 5,008.24 is: 6,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.68 : 9,846.66 = 5,008.24 : x
  2. Step 2: Convert to fraction form
    7,133.68/9,846.66 = 5,008.24/x
  3. Step 3: Cross multiply
    7,133.68x = 9,846.66 × 5,008.24
  4. Step 4: Simplify right side
    7,133.68x = 49,314,436.48
  5. Step 5: Solve for x
    x = 49,314,436.48/7,133.68
  6. Step 6: Final answer
    x = 6,912.90

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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.