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Finding the Fourth Proportional to 6,575.16, 9,856.20 and 5,408.76

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Solution

The fourth proportional to 6,575.16, 9,856.20 and 5,408.76 is: 8,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.16 : 9,856.20 = 5,408.76 : x
  2. Step 2: Convert to fraction form
    6,575.16/9,856.20 = 5,408.76/x
  3. Step 3: Cross multiply
    6,575.16x = 9,856.20 × 5,408.76
  4. Step 4: Simplify right side
    6,575.16x = 53,309,820.31
  5. Step 5: Solve for x
    x = 53,309,820.31/6,575.16
  6. Step 6: Final answer
    x = 8,107.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.