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Finding the Fourth Proportional to 10,812.96, 14,920.20 and 6,097.14

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Solution

The fourth proportional to 10,812.96, 14,920.20 and 6,097.14 is: 8,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.96 : 14,920.20 = 6,097.14 : x
  2. Step 2: Convert to fraction form
    10,812.96/14,920.20 = 6,097.14/x
  3. Step 3: Cross multiply
    10,812.96x = 14,920.20 × 6,097.14
  4. Step 4: Simplify right side
    10,812.96x = 90,970,548.23
  5. Step 5: Solve for x
    x = 90,970,548.23/10,812.96
  6. Step 6: Final answer
    x = 8,413.10

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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.