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Finding the Fourth Proportional to 11,844.95, 16,346.14 and 6,539.65

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Solution

The fourth proportional to 11,844.95, 16,346.14 and 6,539.65 is: 9,024.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.95 : 16,346.14 = 6,539.65 : x
  2. Step 2: Convert to fraction form
    11,844.95/16,346.14 = 6,539.65/x
  3. Step 3: Cross multiply
    11,844.95x = 16,346.14 × 6,539.65
  4. Step 4: Simplify right side
    11,844.95x = 106,897,977.24
  5. Step 5: Solve for x
    x = 106,897,977.24/11,844.95
  6. Step 6: Final answer
    x = 9,024.78

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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.