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Finding the Fourth Proportional to 11,298.23, 15,591.53 and 6,821.10

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Solution

The fourth proportional to 11,298.23, 15,591.53 and 6,821.10 is: 9,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.23 : 15,591.53 = 6,821.10 : x
  2. Step 2: Convert to fraction form
    11,298.23/15,591.53 = 6,821.10/x
  3. Step 3: Cross multiply
    11,298.23x = 15,591.53 × 6,821.10
  4. Step 4: Simplify right side
    11,298.23x = 106,351,402.34
  5. Step 5: Solve for x
    x = 106,351,402.34/11,298.23
  6. Step 6: Final answer
    x = 9,413.10

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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.