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Finding the Fourth Proportional to 7,194.51, 10,777.94 and 4,413.08

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Solution

The fourth proportional to 7,194.51, 10,777.94 and 4,413.08 is: 6,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.51 : 10,777.94 = 4,413.08 : x
  2. Step 2: Convert to fraction form
    7,194.51/10,777.94 = 4,413.08/x
  3. Step 3: Cross multiply
    7,194.51x = 10,777.94 × 4,413.08
  4. Step 4: Simplify right side
    7,194.51x = 47,563,835.50
  5. Step 5: Solve for x
    x = 47,563,835.50/7,194.51
  6. Step 6: Final answer
    x = 6,611.13

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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.