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Finding the Fourth Proportional to 7,344.64, 11,014.62 and 2,413.14

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Solution

The fourth proportional to 7,344.64, 11,014.62 and 2,413.14 is: 3,618.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.64 : 11,014.62 = 2,413.14 : x
  2. Step 2: Convert to fraction form
    7,344.64/11,014.62 = 2,413.14/x
  3. Step 3: Cross multiply
    7,344.64x = 11,014.62 × 2,413.14
  4. Step 4: Simplify right side
    7,344.64x = 26,579,820.11
  5. Step 5: Solve for x
    x = 26,579,820.11/7,344.64
  6. Step 6: Final answer
    x = 3,618.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.