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Finding the Fourth Proportional to 8,508.25, 12,735.44 and 4,799.46

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Solution

The fourth proportional to 8,508.25, 12,735.44 and 4,799.46 is: 7,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.25 : 12,735.44 = 4,799.46 : x
  2. Step 2: Convert to fraction form
    8,508.25/12,735.44 = 4,799.46/x
  3. Step 3: Cross multiply
    8,508.25x = 12,735.44 × 4,799.46
  4. Step 4: Simplify right side
    8,508.25x = 61,123,210.87
  5. Step 5: Solve for x
    x = 61,123,210.87/8,508.25
  6. Step 6: Final answer
    x = 7,184.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.