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Finding the Fourth Proportional to 10,024.25, 15,037.73 and 4,179.48

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Solution

The fourth proportional to 10,024.25, 15,037.73 and 4,179.48 is: 6,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.25 : 15,037.73 = 4,179.48 : x
  2. Step 2: Convert to fraction form
    10,024.25/15,037.73 = 4,179.48/x
  3. Step 3: Cross multiply
    10,024.25x = 15,037.73 × 4,179.48
  4. Step 4: Simplify right side
    10,024.25x = 62,849,870.88
  5. Step 5: Solve for x
    x = 62,849,870.88/10,024.25
  6. Step 6: Final answer
    x = 6,269.79

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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.