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Finding the Fourth Proportional to 8,826.64, 12,180.76 and 4,848

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Solution

The fourth proportional to 8,826.64, 12,180.76 and 4,848 is: 6,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826.64 : 12,180.76 = 4,848 : x
  2. Step 2: Convert to fraction form
    8,826.64/12,180.76 = 4,848/x
  3. Step 3: Cross multiply
    8,826.64x = 12,180.76 × 4,848
  4. Step 4: Simplify right side
    8,826.64x = 59,052,324.48
  5. Step 5: Solve for x
    x = 59,052,324.48/8,826.64
  6. Step 6: Final answer
    x = 6,690.24

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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.