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Finding the Fourth Proportional to 8,826.16, 12,180.24 and 4,847.68

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Solution

The fourth proportional to 8,826.16, 12,180.24 and 4,847.68 is: 6,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826.16 : 12,180.24 = 4,847.68 : x
  2. Step 2: Convert to fraction form
    8,826.16/12,180.24 = 4,847.68/x
  3. Step 3: Cross multiply
    8,826.16x = 12,180.24 × 4,847.68
  4. Step 4: Simplify right side
    8,826.16x = 59,045,905.84
  5. Step 5: Solve for x
    x = 59,045,905.84/8,826.16
  6. Step 6: Final answer
    x = 6,689.87

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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.