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Finding the Fourth Proportional to 8,443.54, 12,665.31 and 5,150.05

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Solution

The fourth proportional to 8,443.54, 12,665.31 and 5,150.05 is: 7,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.54 : 12,665.31 = 5,150.05 : x
  2. Step 2: Convert to fraction form
    8,443.54/12,665.31 = 5,150.05/x
  3. Step 3: Cross multiply
    8,443.54x = 12,665.31 × 5,150.05
  4. Step 4: Simplify right side
    8,443.54x = 65,226,979.77
  5. Step 5: Solve for x
    x = 65,226,979.77/8,443.54
  6. Step 6: Final answer
    x = 7,725.08

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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.