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Finding the Fourth Proportional to 7,855.92, 10,829.93 and 5,616.95

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Solution

The fourth proportional to 7,855.92, 10,829.93 and 5,616.95 is: 7,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.92 : 10,829.93 = 5,616.95 : x
  2. Step 2: Convert to fraction form
    7,855.92/10,829.93 = 5,616.95/x
  3. Step 3: Cross multiply
    7,855.92x = 10,829.93 × 5,616.95
  4. Step 4: Simplify right side
    7,855.92x = 60,831,093.08
  5. Step 5: Solve for x
    x = 60,831,093.08/7,855.92
  6. Step 6: Final answer
    x = 7,743.34

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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.