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Finding the Fourth Proportional to 11,844.34, 16,345.83 and 6,539.14

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Solution

The fourth proportional to 11,844.34, 16,345.83 and 6,539.14 is: 9,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.34 : 16,345.83 = 6,539.14 : x
  2. Step 2: Convert to fraction form
    11,844.34/16,345.83 = 6,539.14/x
  3. Step 3: Cross multiply
    11,844.34x = 16,345.83 × 6,539.14
  4. Step 4: Simplify right side
    11,844.34x = 106,887,670.79
  5. Step 5: Solve for x
    x = 106,887,670.79/11,844.34
  6. Step 6: Final answer
    x = 9,024.37

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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.