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Finding the Fourth Proportional to 10,825.74, 16,238.88 and 3,035.16

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Solution

The fourth proportional to 10,825.74, 16,238.88 and 3,035.16 is: 4,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.74 : 16,238.88 = 3,035.16 : x
  2. Step 2: Convert to fraction form
    10,825.74/16,238.88 = 3,035.16/x
  3. Step 3: Cross multiply
    10,825.74x = 16,238.88 × 3,035.16
  4. Step 4: Simplify right side
    10,825.74x = 49,287,599.02
  5. Step 5: Solve for x
    x = 49,287,599.02/10,825.74
  6. Step 6: Final answer
    x = 4,552.82

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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.