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Finding the Fourth Proportional to 10,812.96, 14,920.88 and 6,097.12

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Solution

The fourth proportional to 10,812.96, 14,920.88 and 6,097.12 is: 8,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.96 : 14,920.88 = 6,097.12 : x
  2. Step 2: Convert to fraction form
    10,812.96/14,920.88 = 6,097.12/x
  3. Step 3: Cross multiply
    10,812.96x = 14,920.88 × 6,097.12
  4. Step 4: Simplify right side
    10,812.96x = 90,974,395.87
  5. Step 5: Solve for x
    x = 90,974,395.87/10,812.96
  6. Step 6: Final answer
    x = 8,413.46

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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.