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Finding the Fourth Proportional to 8,278.81, 11,425.25 and 4,693.68

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Solution

The fourth proportional to 8,278.81, 11,425.25 and 4,693.68 is: 6,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.81 : 11,425.25 = 4,693.68 : x
  2. Step 2: Convert to fraction form
    8,278.81/11,425.25 = 4,693.68/x
  3. Step 3: Cross multiply
    8,278.81x = 11,425.25 × 4,693.68
  4. Step 4: Simplify right side
    8,278.81x = 53,626,479.15
  5. Step 5: Solve for x
    x = 53,626,479.15/8,278.81
  6. Step 6: Final answer
    x = 6,477.56

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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.