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Finding the Fourth Proportional to 6,117.27, 8,438.03 and 5,092.61

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Solution

The fourth proportional to 6,117.27, 8,438.03 and 5,092.61 is: 7,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.27 : 8,438.03 = 5,092.61 : x
  2. Step 2: Convert to fraction form
    6,117.27/8,438.03 = 5,092.61/x
  3. Step 3: Cross multiply
    6,117.27x = 8,438.03 × 5,092.61
  4. Step 4: Simplify right side
    6,117.27x = 42,971,528.31
  5. Step 5: Solve for x
    x = 42,971,528.31/6,117.27
  6. Step 6: Final answer
    x = 7,024.63

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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.