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Finding the Fourth Proportional to 7,829.87, 11,737.37 and 2,896.16

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Solution

The fourth proportional to 7,829.87, 11,737.37 and 2,896.16 is: 4,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.87 : 11,737.37 = 2,896.16 : x
  2. Step 2: Convert to fraction form
    7,829.87/11,737.37 = 2,896.16/x
  3. Step 3: Cross multiply
    7,829.87x = 11,737.37 × 2,896.16
  4. Step 4: Simplify right side
    7,829.87x = 33,993,301.50
  5. Step 5: Solve for x
    x = 33,993,301.50/7,829.87
  6. Step 6: Final answer
    x = 4,341.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.