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Finding the Fourth Proportional to 8,274.16, 12,409.20 and 4,943.32

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Solution

The fourth proportional to 8,274.16, 12,409.20 and 4,943.32 is: 7,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.16 : 12,409.20 = 4,943.32 : x
  2. Step 2: Convert to fraction form
    8,274.16/12,409.20 = 4,943.32/x
  3. Step 3: Cross multiply
    8,274.16x = 12,409.20 × 4,943.32
  4. Step 4: Simplify right side
    8,274.16x = 61,342,646.54
  5. Step 5: Solve for x
    x = 61,342,646.54/8,274.16
  6. Step 6: Final answer
    x = 7,413.76

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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.