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Finding the Fourth Proportional to 8,365.06, 11,543.40 and 5,005.84

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Solution

The fourth proportional to 8,365.06, 11,543.40 and 5,005.84 is: 6,907.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.06 : 11,543.40 = 5,005.84 : x
  2. Step 2: Convert to fraction form
    8,365.06/11,543.40 = 5,005.84/x
  3. Step 3: Cross multiply
    8,365.06x = 11,543.40 × 5,005.84
  4. Step 4: Simplify right side
    8,365.06x = 57,784,413.46
  5. Step 5: Solve for x
    x = 57,784,413.46/8,365.06
  6. Step 6: Final answer
    x = 6,907.83

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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.