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Finding the Fourth Proportional to 7,864.70, 10,853.60 and 4,327.83

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Solution

The fourth proportional to 7,864.70, 10,853.60 and 4,327.83 is: 5,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.70 : 10,853.60 = 4,327.83 : x
  2. Step 2: Convert to fraction form
    7,864.70/10,853.60 = 4,327.83/x
  3. Step 3: Cross multiply
    7,864.70x = 10,853.60 × 4,327.83
  4. Step 4: Simplify right side
    7,864.70x = 46,972,514.05
  5. Step 5: Solve for x
    x = 46,972,514.05/7,864.70
  6. Step 6: Final answer
    x = 5,972.58

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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.