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Finding the Fourth Proportional to 7,856.57, 10,836.41 and 5,334.30

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Solution

The fourth proportional to 7,856.57, 10,836.41 and 5,334.30 is: 7,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.57 : 10,836.41 = 5,334.30 : x
  2. Step 2: Convert to fraction form
    7,856.57/10,836.41 = 5,334.30/x
  3. Step 3: Cross multiply
    7,856.57x = 10,836.41 × 5,334.30
  4. Step 4: Simplify right side
    7,856.57x = 57,804,732.05
  5. Step 5: Solve for x
    x = 57,804,732.05/7,856.57
  6. Step 6: Final answer
    x = 7,357.50

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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.