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Finding the Fourth Proportional to 7,896.90, 10,890.16 and 6,101.52

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Solution

The fourth proportional to 7,896.90, 10,890.16 and 6,101.52 is: 8,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.90 : 10,890.16 = 6,101.52 : x
  2. Step 2: Convert to fraction form
    7,896.90/10,890.16 = 6,101.52/x
  3. Step 3: Cross multiply
    7,896.90x = 10,890.16 × 6,101.52
  4. Step 4: Simplify right side
    7,896.90x = 66,446,529.04
  5. Step 5: Solve for x
    x = 66,446,529.04/7,896.90
  6. Step 6: Final answer
    x = 8,414.25

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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.