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Finding the Fourth Proportional to 7,667.83, 10,582.54 and 4,310.78

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Solution

The fourth proportional to 7,667.83, 10,582.54 and 4,310.78 is: 5,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.83 : 10,582.54 = 4,310.78 : x
  2. Step 2: Convert to fraction form
    7,667.83/10,582.54 = 4,310.78/x
  3. Step 3: Cross multiply
    7,667.83x = 10,582.54 × 4,310.78
  4. Step 4: Simplify right side
    7,667.83x = 45,619,001.78
  5. Step 5: Solve for x
    x = 45,619,001.78/7,667.83
  6. Step 6: Final answer
    x = 5,949.40

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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.