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Finding the Fourth Proportional to 7,627.77, 10,530.81 and 5,724

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Solution

The fourth proportional to 7,627.77, 10,530.81 and 5,724 is: 7,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.77 : 10,530.81 = 5,724 : x
  2. Step 2: Convert to fraction form
    7,627.77/10,530.81 = 5,724/x
  3. Step 3: Cross multiply
    7,627.77x = 10,530.81 × 5,724
  4. Step 4: Simplify right side
    7,627.77x = 60,278,356.44
  5. Step 5: Solve for x
    x = 60,278,356.44/7,627.77
  6. Step 6: Final answer
    x = 7,902.49

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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.