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Finding the Fourth Proportional to 7,657.72, 10,568.80 and 4,675.28

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Solution

The fourth proportional to 7,657.72, 10,568.80 and 4,675.28 is: 6,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.72 : 10,568.80 = 4,675.28 : x
  2. Step 2: Convert to fraction form
    7,657.72/10,568.80 = 4,675.28/x
  3. Step 3: Cross multiply
    7,657.72x = 10,568.80 × 4,675.28
  4. Step 4: Simplify right side
    7,657.72x = 49,412,099.26
  5. Step 5: Solve for x
    x = 49,412,099.26/7,657.72
  6. Step 6: Final answer
    x = 6,452.59

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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.