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Finding the Fourth Proportional to 7,288.63, 10,057.30 and 4,102.09

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Solution

The fourth proportional to 7,288.63, 10,057.30 and 4,102.09 is: 5,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.63 : 10,057.30 = 4,102.09 : x
  2. Step 2: Convert to fraction form
    7,288.63/10,057.30 = 4,102.09/x
  3. Step 3: Cross multiply
    7,288.63x = 10,057.30 × 4,102.09
  4. Step 4: Simplify right side
    7,288.63x = 41,255,949.76
  5. Step 5: Solve for x
    x = 41,255,949.76/7,288.63
  6. Step 6: Final answer
    x = 5,660.32

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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.