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Finding the Fourth Proportional to 7,865.91, 10,856.01 and 7,201.57

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Solution

The fourth proportional to 7,865.91, 10,856.01 and 7,201.57 is: 9,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.91 : 10,856.01 = 7,201.57 : x
  2. Step 2: Convert to fraction form
    7,865.91/10,856.01 = 7,201.57/x
  3. Step 3: Cross multiply
    7,865.91x = 10,856.01 × 7,201.57
  4. Step 4: Simplify right side
    7,865.91x = 78,180,315.94
  5. Step 5: Solve for x
    x = 78,180,315.94/7,865.91
  6. Step 6: Final answer
    x = 9,939.13

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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.