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Finding the Fourth Proportional to 10,018.65, 13,825.80 and 5,542.47

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Solution

The fourth proportional to 10,018.65, 13,825.80 and 5,542.47 is: 7,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.65 : 13,825.80 = 5,542.47 : x
  2. Step 2: Convert to fraction form
    10,018.65/13,825.80 = 5,542.47/x
  3. Step 3: Cross multiply
    10,018.65x = 13,825.80 × 5,542.47
  4. Step 4: Simplify right side
    10,018.65x = 76,629,081.73
  5. Step 5: Solve for x
    x = 76,629,081.73/10,018.65
  6. Step 6: Final answer
    x = 7,648.64

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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.