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Finding the Fourth Proportional to 7,657.74, 10,568.83 and 4,675.31

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Solution

The fourth proportional to 7,657.74, 10,568.83 and 4,675.31 is: 6,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.74 : 10,568.83 = 4,675.31 : x
  2. Step 2: Convert to fraction form
    7,657.74/10,568.83 = 4,675.31/x
  3. Step 3: Cross multiply
    7,657.74x = 10,568.83 × 4,675.31
  4. Step 4: Simplify right side
    7,657.74x = 49,412,492.05
  5. Step 5: Solve for x
    x = 49,412,492.05/7,657.74
  6. Step 6: Final answer
    x = 6,452.62

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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.