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Finding the Fourth Proportional to 10,444.76, 14,413.02 and 5,728.28

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Solution

The fourth proportional to 10,444.76, 14,413.02 and 5,728.28 is: 7,904.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.76 : 14,413.02 = 5,728.28 : x
  2. Step 2: Convert to fraction form
    10,444.76/14,413.02 = 5,728.28/x
  3. Step 3: Cross multiply
    10,444.76x = 14,413.02 × 5,728.28
  4. Step 4: Simplify right side
    10,444.76x = 82,561,814.21
  5. Step 5: Solve for x
    x = 82,561,814.21/10,444.76
  6. Step 6: Final answer
    x = 7,904.62

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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.