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Finding the Fourth Proportional to 8,413.81, 12,606.76 and 5,116.93

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Solution

The fourth proportional to 8,413.81, 12,606.76 and 5,116.93 is: 7,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.81 : 12,606.76 = 5,116.93 : x
  2. Step 2: Convert to fraction form
    8,413.81/12,606.76 = 5,116.93/x
  3. Step 3: Cross multiply
    8,413.81x = 12,606.76 × 5,116.93
  4. Step 4: Simplify right side
    8,413.81x = 64,507,883.33
  5. Step 5: Solve for x
    x = 64,507,883.33/8,413.81
  6. Step 6: Final answer
    x = 7,666.91

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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.