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Finding the Fourth Proportional to 7,864.68, 10,853.32 and 4,327.90

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Solution

The fourth proportional to 7,864.68, 10,853.32 and 4,327.90 is: 5,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.68 : 10,853.32 = 4,327.90 : x
  2. Step 2: Convert to fraction form
    7,864.68/10,853.32 = 4,327.90/x
  3. Step 3: Cross multiply
    7,864.68x = 10,853.32 × 4,327.90
  4. Step 4: Simplify right side
    7,864.68x = 46,972,083.63
  5. Step 5: Solve for x
    x = 46,972,083.63/7,864.68
  6. Step 6: Final answer
    x = 5,972.54

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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.