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Finding the Fourth Proportional to 10,444.69, 14,413.43 and 5,728.93

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Solution

The fourth proportional to 10,444.69, 14,413.43 and 5,728.93 is: 7,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.69 : 14,413.43 = 5,728.93 : x
  2. Step 2: Convert to fraction form
    10,444.69/14,413.43 = 5,728.93/x
  3. Step 3: Cross multiply
    10,444.69x = 14,413.43 × 5,728.93
  4. Step 4: Simplify right side
    10,444.69x = 82,573,502.89
  5. Step 5: Solve for x
    x = 82,573,502.89/10,444.69
  6. Step 6: Final answer
    x = 7,905.79

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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.