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Finding the Fourth Proportional to 8,422.46, 11,627.16 and 6,529.76

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Solution

The fourth proportional to 8,422.46, 11,627.16 and 6,529.76 is: 9,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.46 : 11,627.16 = 6,529.76 : x
  2. Step 2: Convert to fraction form
    8,422.46/11,627.16 = 6,529.76/x
  3. Step 3: Cross multiply
    8,422.46x = 11,627.16 × 6,529.76
  4. Step 4: Simplify right side
    8,422.46x = 75,922,564.28
  5. Step 5: Solve for x
    x = 75,922,564.28/8,422.46
  6. Step 6: Final answer
    x = 9,014.30

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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.