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Finding the Fourth Proportional to 7,438.29, 11,095 and 6,833.82

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Solution

The fourth proportional to 7,438.29, 11,095 and 6,833.82 is: 10,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.29 : 11,095 = 6,833.82 : x
  2. Step 2: Convert to fraction form
    7,438.29/11,095 = 6,833.82/x
  3. Step 3: Cross multiply
    7,438.29x = 11,095 × 6,833.82
  4. Step 4: Simplify right side
    7,438.29x = 75,821,232.90
  5. Step 5: Solve for x
    x = 75,821,232.90/7,438.29
  6. Step 6: Final answer
    x = 10,193.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.