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Finding the Fourth Proportional to 10,192.32, 14,060.64 and 6,413.76

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Solution

The fourth proportional to 10,192.32, 14,060.64 and 6,413.76 is: 8,847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.32 : 14,060.64 = 6,413.76 : x
  2. Step 2: Convert to fraction form
    10,192.32/14,060.64 = 6,413.76/x
  3. Step 3: Cross multiply
    10,192.32x = 14,060.64 × 6,413.76
  4. Step 4: Simplify right side
    10,192.32x = 90,181,570.41
  5. Step 5: Solve for x
    x = 90,181,570.41/10,192.32
  6. Step 6: Final answer
    x = 8,847.99

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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.