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Finding the Fourth Proportional to 8,705.80, 13,057.02 and 2,464.30

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Solution

The fourth proportional to 8,705.80, 13,057.02 and 2,464.30 is: 3,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.80 : 13,057.02 = 2,464.30 : x
  2. Step 2: Convert to fraction form
    8,705.80/13,057.02 = 2,464.30/x
  3. Step 3: Cross multiply
    8,705.80x = 13,057.02 × 2,464.30
  4. Step 4: Simplify right side
    8,705.80x = 32,176,414.39
  5. Step 5: Solve for x
    x = 32,176,414.39/8,705.80
  6. Step 6: Final answer
    x = 3,695.98

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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.