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Finding the Fourth Proportional to 10,184.61, 14,063.13 and 6,413.86

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Solution

The fourth proportional to 10,184.61, 14,063.13 and 6,413.86 is: 8,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.61 : 14,063.13 = 6,413.86 : x
  2. Step 2: Convert to fraction form
    10,184.61/14,063.13 = 6,413.86/x
  3. Step 3: Cross multiply
    10,184.61x = 14,063.13 × 6,413.86
  4. Step 4: Simplify right side
    10,184.61x = 90,198,946.98
  5. Step 5: Solve for x
    x = 90,198,946.98/10,184.61
  6. Step 6: Final answer
    x = 8,856.40

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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.