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Finding the Fourth Proportional to 10,812.69, 14,921.28 and 6,097.14

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Solution

The fourth proportional to 10,812.69, 14,921.28 and 6,097.14 is: 8,413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.69 : 14,921.28 = 6,097.14 : x
  2. Step 2: Convert to fraction form
    10,812.69/14,921.28 = 6,097.14/x
  3. Step 3: Cross multiply
    10,812.69x = 14,921.28 × 6,097.14
  4. Step 4: Simplify right side
    10,812.69x = 90,977,133.14
  5. Step 5: Solve for x
    x = 90,977,133.14/10,812.69
  6. Step 6: Final answer
    x = 8,413.92

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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.