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Finding the Fourth Proportional to 8,340.06, 12,505.48 and 3,413.16

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Solution

The fourth proportional to 8,340.06, 12,505.48 and 3,413.16 is: 5,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.06 : 12,505.48 = 3,413.16 : x
  2. Step 2: Convert to fraction form
    8,340.06/12,505.48 = 3,413.16/x
  3. Step 3: Cross multiply
    8,340.06x = 12,505.48 × 3,413.16
  4. Step 4: Simplify right side
    8,340.06x = 42,683,204.12
  5. Step 5: Solve for x
    x = 42,683,204.12/8,340.06
  6. Step 6: Final answer
    x = 5,117.85

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