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Finding the Fourth Proportional to 10,032.54, 15,039.02 and 4,190.82

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Solution

The fourth proportional to 10,032.54, 15,039.02 and 4,190.82 is: 6,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.54 : 15,039.02 = 4,190.82 : x
  2. Step 2: Convert to fraction form
    10,032.54/15,039.02 = 4,190.82/x
  3. Step 3: Cross multiply
    10,032.54x = 15,039.02 × 4,190.82
  4. Step 4: Simplify right side
    10,032.54x = 63,025,825.80
  5. Step 5: Solve for x
    x = 63,025,825.80/10,032.54
  6. Step 6: Final answer
    x = 6,282.14

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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.