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Finding the Fourth Proportional to 10,811.40, 14,920.50 and 6,096.12

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Solution

The fourth proportional to 10,811.40, 14,920.50 and 6,096.12 is: 8,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.40 : 14,920.50 = 6,096.12 : x
  2. Step 2: Convert to fraction form
    10,811.40/14,920.50 = 6,096.12/x
  3. Step 3: Cross multiply
    10,811.40x = 14,920.50 × 6,096.12
  4. Step 4: Simplify right side
    10,811.40x = 90,957,158.46
  5. Step 5: Solve for x
    x = 90,957,158.46/10,811.40
  6. Step 6: Final answer
    x = 8,413.08

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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.