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Finding the Fourth Proportional to 6,026.86, 9,046.68 and 5,338

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Solution

The fourth proportional to 6,026.86, 9,046.68 and 5,338 is: 8,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.86 : 9,046.68 = 5,338 : x
  2. Step 2: Convert to fraction form
    6,026.86/9,046.68 = 5,338/x
  3. Step 3: Cross multiply
    6,026.86x = 9,046.68 × 5,338
  4. Step 4: Simplify right side
    6,026.86x = 48,291,177.84
  5. Step 5: Solve for x
    x = 48,291,177.84/6,026.86
  6. Step 6: Final answer
    x = 8,012.66

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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.