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Finding the Fourth Proportional to 10,444.86, 14,413.65 and 5,664.54

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Solution

The fourth proportional to 10,444.86, 14,413.65 and 5,664.54 is: 7,816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.86 : 14,413.65 = 5,664.54 : x
  2. Step 2: Convert to fraction form
    10,444.86/14,413.65 = 5,664.54/x
  3. Step 3: Cross multiply
    10,444.86x = 14,413.65 × 5,664.54
  4. Step 4: Simplify right side
    10,444.86x = 81,646,696.97
  5. Step 5: Solve for x
    x = 81,646,696.97/10,444.86
  6. Step 6: Final answer
    x = 7,816.93

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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.