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Finding the Fourth Proportional to 10,444.67, 14,413.62 and 5,728.94

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Solution

The fourth proportional to 10,444.67, 14,413.62 and 5,728.94 is: 7,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.67 : 14,413.62 = 5,728.94 : x
  2. Step 2: Convert to fraction form
    10,444.67/14,413.62 = 5,728.94/x
  3. Step 3: Cross multiply
    10,444.67x = 14,413.62 × 5,728.94
  4. Step 4: Simplify right side
    10,444.67x = 82,574,764.16
  5. Step 5: Solve for x
    x = 82,574,764.16/10,444.67
  6. Step 6: Final answer
    x = 7,905.92

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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.