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Finding the Fourth Proportional to 7,720.82, 10,653.09 and 4,578.02

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Solution

The fourth proportional to 7,720.82, 10,653.09 and 4,578.02 is: 6,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.82 : 10,653.09 = 4,578.02 : x
  2. Step 2: Convert to fraction form
    7,720.82/10,653.09 = 4,578.02/x
  3. Step 3: Cross multiply
    7,720.82x = 10,653.09 × 4,578.02
  4. Step 4: Simplify right side
    7,720.82x = 48,770,059.08
  5. Step 5: Solve for x
    x = 48,770,059.08/7,720.82
  6. Step 6: Final answer
    x = 6,316.69

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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.