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Finding the Fourth Proportional to 8,770.14, 12,106.15 and 5,413.50

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Solution

The fourth proportional to 8,770.14, 12,106.15 and 5,413.50 is: 7,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.14 : 12,106.15 = 5,413.50 : x
  2. Step 2: Convert to fraction form
    8,770.14/12,106.15 = 5,413.50/x
  3. Step 3: Cross multiply
    8,770.14x = 12,106.15 × 5,413.50
  4. Step 4: Simplify right side
    8,770.14x = 65,536,643.03
  5. Step 5: Solve for x
    x = 65,536,643.03/8,770.14
  6. Step 6: Final answer
    x = 7,472.70

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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.