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Finding the Fourth Proportional to 10,018.71, 13,825.91 and 5,542.61

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Solution

The fourth proportional to 10,018.71, 13,825.91 and 5,542.61 is: 7,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.71 : 13,825.91 = 5,542.61 : x
  2. Step 2: Convert to fraction form
    10,018.71/13,825.91 = 5,542.61/x
  3. Step 3: Cross multiply
    10,018.71x = 13,825.91 × 5,542.61
  4. Step 4: Simplify right side
    10,018.71x = 76,631,530.18
  5. Step 5: Solve for x
    x = 76,631,530.18/10,018.71
  6. Step 6: Final answer
    x = 7,648.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.