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Finding the Fourth Proportional to 10,291.99, 15,424.42 and 5,614.03

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Solution

The fourth proportional to 10,291.99, 15,424.42 and 5,614.03 is: 8,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.99 : 15,424.42 = 5,614.03 : x
  2. Step 2: Convert to fraction form
    10,291.99/15,424.42 = 5,614.03/x
  3. Step 3: Cross multiply
    10,291.99x = 15,424.42 × 5,614.03
  4. Step 4: Simplify right side
    10,291.99x = 86,593,156.61
  5. Step 5: Solve for x
    x = 86,593,156.61/10,291.99
  6. Step 6: Final answer
    x = 8,413.65

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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.