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Finding the Fourth Proportional to 8,468.64, 11,688.12 and 4,933.92

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Solution

The fourth proportional to 8,468.64, 11,688.12 and 4,933.92 is: 6,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.64 : 11,688.12 = 4,933.92 : x
  2. Step 2: Convert to fraction form
    8,468.64/11,688.12 = 4,933.92/x
  3. Step 3: Cross multiply
    8,468.64x = 11,688.12 × 4,933.92
  4. Step 4: Simplify right side
    8,468.64x = 57,668,249.03
  5. Step 5: Solve for x
    x = 57,668,249.03/8,468.64
  6. Step 6: Final answer
    x = 6,809.62

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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.