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Finding the Fourth Proportional to 8,770.51, 12,099.36 and 5,413.46

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Solution

The fourth proportional to 8,770.51, 12,099.36 and 5,413.46 is: 7,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.51 : 12,099.36 = 5,413.46 : x
  2. Step 2: Convert to fraction form
    8,770.51/12,099.36 = 5,413.46/x
  3. Step 3: Cross multiply
    8,770.51x = 12,099.36 × 5,413.46
  4. Step 4: Simplify right side
    8,770.51x = 65,499,431.63
  5. Step 5: Solve for x
    x = 65,499,431.63/8,770.51
  6. Step 6: Final answer
    x = 7,468.15

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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.