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Finding the Fourth Proportional to 10,297.87, 15,441.30 and 4,057.63

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Solution

The fourth proportional to 10,297.87, 15,441.30 and 4,057.63 is: 6,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.87 : 15,441.30 = 4,057.63 : x
  2. Step 2: Convert to fraction form
    10,297.87/15,441.30 = 4,057.63/x
  3. Step 3: Cross multiply
    10,297.87x = 15,441.30 × 4,057.63
  4. Step 4: Simplify right side
    10,297.87x = 62,655,043.52
  5. Step 5: Solve for x
    x = 62,655,043.52/10,297.87
  6. Step 6: Final answer
    x = 6,084.27

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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.