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Finding the Fourth Proportional to 11,242.71, 16,864.05 and 3,345.19

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Solution

The fourth proportional to 11,242.71, 16,864.05 and 3,345.19 is: 5,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.71 : 16,864.05 = 3,345.19 : x
  2. Step 2: Convert to fraction form
    11,242.71/16,864.05 = 3,345.19/x
  3. Step 3: Cross multiply
    11,242.71x = 16,864.05 × 3,345.19
  4. Step 4: Simplify right side
    11,242.71x = 56,413,451.42
  5. Step 5: Solve for x
    x = 56,413,451.42/11,242.71
  6. Step 6: Final answer
    x = 5,017.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.