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Finding the Fourth Proportional to 8,911.48, 12,293.76 and 5,768.68

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Solution

The fourth proportional to 8,911.48, 12,293.76 and 5,768.68 is: 7,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.48 : 12,293.76 = 5,768.68 : x
  2. Step 2: Convert to fraction form
    8,911.48/12,293.76 = 5,768.68/x
  3. Step 3: Cross multiply
    8,911.48x = 12,293.76 × 5,768.68
  4. Step 4: Simplify right side
    8,911.48x = 70,918,767.44
  5. Step 5: Solve for x
    x = 70,918,767.44/8,911.48
  6. Step 6: Final answer
    x = 7,958.14

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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.