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Finding the Fourth Proportional to 7,896.51, 11,838.51 and 2,965.60

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Solution

The fourth proportional to 7,896.51, 11,838.51 and 2,965.60 is: 4,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.51 : 11,838.51 = 2,965.60 : x
  2. Step 2: Convert to fraction form
    7,896.51/11,838.51 = 2,965.60/x
  3. Step 3: Cross multiply
    7,896.51x = 11,838.51 × 2,965.60
  4. Step 4: Simplify right side
    7,896.51x = 35,108,285.26
  5. Step 5: Solve for x
    x = 35,108,285.26/7,896.51
  6. Step 6: Final answer
    x = 4,446.05

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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.