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Finding the Fourth Proportional to 10,311.80, 15,473.37 and 4,468.46

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Solution

The fourth proportional to 10,311.80, 15,473.37 and 4,468.46 is: 6,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.80 : 15,473.37 = 4,468.46 : x
  2. Step 2: Convert to fraction form
    10,311.80/15,473.37 = 4,468.46/x
  3. Step 3: Cross multiply
    10,311.80x = 15,473.37 × 4,468.46
  4. Step 4: Simplify right side
    10,311.80x = 69,142,134.91
  5. Step 5: Solve for x
    x = 69,142,134.91/10,311.80
  6. Step 6: Final answer
    x = 6,705.15

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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.