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Finding the Fourth Proportional to 11,841.83, 16,341.96 and 6,464.54

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Solution

The fourth proportional to 11,841.83, 16,341.96 and 6,464.54 is: 8,921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.83 : 16,341.96 = 6,464.54 : x
  2. Step 2: Convert to fraction form
    11,841.83/16,341.96 = 6,464.54/x
  3. Step 3: Cross multiply
    11,841.83x = 16,341.96 × 6,464.54
  4. Step 4: Simplify right side
    11,841.83x = 105,643,254.10
  5. Step 5: Solve for x
    x = 105,643,254.10/11,841.83
  6. Step 6: Final answer
    x = 8,921.19

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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.