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Finding the Fourth Proportional to 8,595.76, 12,896.16 and 4,213.48

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Solution

The fourth proportional to 8,595.76, 12,896.16 and 4,213.48 is: 6,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,595.76 : 12,896.16 = 4,213.48 : x
  2. Step 2: Convert to fraction form
    8,595.76/12,896.16 = 4,213.48/x
  3. Step 3: Cross multiply
    8,595.76x = 12,896.16 × 4,213.48
  4. Step 4: Simplify right side
    8,595.76x = 54,337,712.24
  5. Step 5: Solve for x
    x = 54,337,712.24/8,595.76
  6. Step 6: Final answer
    x = 6,321.46

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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.