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Finding the Fourth Proportional to 8,162.64, 12,253.68 and 4,883.76

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Solution

The fourth proportional to 8,162.64, 12,253.68 and 4,883.76 is: 7,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.64 : 12,253.68 = 4,883.76 : x
  2. Step 2: Convert to fraction form
    8,162.64/12,253.68 = 4,883.76/x
  3. Step 3: Cross multiply
    8,162.64x = 12,253.68 × 4,883.76
  4. Step 4: Simplify right side
    8,162.64x = 59,844,032.24
  5. Step 5: Solve for x
    x = 59,844,032.24/8,162.64
  6. Step 6: Final answer
    x = 7,331.46

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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.