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Finding the Fourth Proportional to 11,298.37, 15,592.14 and 6,821.24

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Solution

The fourth proportional to 11,298.37, 15,592.14 and 6,821.24 is: 9,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.37 : 15,592.14 = 6,821.24 : x
  2. Step 2: Convert to fraction form
    11,298.37/15,592.14 = 6,821.24/x
  3. Step 3: Cross multiply
    11,298.37x = 15,592.14 × 6,821.24
  4. Step 4: Simplify right side
    11,298.37x = 106,357,729.05
  5. Step 5: Solve for x
    x = 106,357,729.05/11,298.37
  6. Step 6: Final answer
    x = 9,413.55

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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.