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Finding the Fourth Proportional to 11,843.60, 16,345.16 and 6,538.96

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Solution

The fourth proportional to 11,843.60, 16,345.16 and 6,538.96 is: 9,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.60 : 16,345.16 = 6,538.96 : x
  2. Step 2: Convert to fraction form
    11,843.60/16,345.16 = 6,538.96/x
  3. Step 3: Cross multiply
    11,843.60x = 16,345.16 × 6,538.96
  4. Step 4: Simplify right side
    11,843.60x = 106,880,347.43
  5. Step 5: Solve for x
    x = 106,880,347.43/11,843.60
  6. Step 6: Final answer
    x = 9,024.31

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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.