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Finding the Fourth Proportional to 11,839.86, 16,339.14 and 6,534.90

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Solution

The fourth proportional to 11,839.86, 16,339.14 and 6,534.90 is: 9,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.86 : 16,339.14 = 6,534.90 : x
  2. Step 2: Convert to fraction form
    11,839.86/16,339.14 = 6,534.90/x
  3. Step 3: Cross multiply
    11,839.86x = 16,339.14 × 6,534.90
  4. Step 4: Simplify right side
    11,839.86x = 106,774,645.99
  5. Step 5: Solve for x
    x = 106,774,645.99/11,839.86
  6. Step 6: Final answer
    x = 9,018.24

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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.