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Finding the Fourth Proportional to 7,656.96, 10,566.57 and 4,299.83

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Solution

The fourth proportional to 7,656.96, 10,566.57 and 4,299.83 is: 5,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.96 : 10,566.57 = 4,299.83 : x
  2. Step 2: Convert to fraction form
    7,656.96/10,566.57 = 4,299.83/x
  3. Step 3: Cross multiply
    7,656.96x = 10,566.57 × 4,299.83
  4. Step 4: Simplify right side
    7,656.96x = 45,434,454.68
  5. Step 5: Solve for x
    x = 45,434,454.68/7,656.96
  6. Step 6: Final answer
    x = 5,933.75

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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.