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Finding the Fourth Proportional to 10,446.75, 15,671.58 and 3,051.75

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Solution

The fourth proportional to 10,446.75, 15,671.58 and 3,051.75 is: 4,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.75 : 15,671.58 = 3,051.75 : x
  2. Step 2: Convert to fraction form
    10,446.75/15,671.58 = 3,051.75/x
  3. Step 3: Cross multiply
    10,446.75x = 15,671.58 × 3,051.75
  4. Step 4: Simplify right side
    10,446.75x = 47,825,665.91
  5. Step 5: Solve for x
    x = 47,825,665.91/10,446.75
  6. Step 6: Final answer
    x = 4,578.04

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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.