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Finding the Fourth Proportional to 7,906.16, 10,911.48 and 5,109.68

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Solution

The fourth proportional to 7,906.16, 10,911.48 and 5,109.68 is: 7,051.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.16 : 10,911.48 = 5,109.68 : x
  2. Step 2: Convert to fraction form
    7,906.16/10,911.48 = 5,109.68/x
  3. Step 3: Cross multiply
    7,906.16x = 10,911.48 × 5,109.68
  4. Step 4: Simplify right side
    7,906.16x = 55,754,171.13
  5. Step 5: Solve for x
    x = 55,754,171.13/7,906.16
  6. Step 6: Final answer
    x = 7,051.99

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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.