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Finding the Fourth Proportional to 8,826.40, 12,180.40 and 4,847.40

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Solution

The fourth proportional to 8,826.40, 12,180.40 and 4,847.40 is: 6,689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826.40 : 12,180.40 = 4,847.40 : x
  2. Step 2: Convert to fraction form
    8,826.40/12,180.40 = 4,847.40/x
  3. Step 3: Cross multiply
    8,826.40x = 12,180.40 × 4,847.40
  4. Step 4: Simplify right side
    8,826.40x = 59,043,270.96
  5. Step 5: Solve for x
    x = 59,043,270.96/8,826.40
  6. Step 6: Final answer
    x = 6,689.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.