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Finding the Fourth Proportional to 8,364.25, 11,544.47 and 5,007.81

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Solution

The fourth proportional to 8,364.25, 11,544.47 and 5,007.81 is: 6,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.25 : 11,544.47 = 5,007.81 : x
  2. Step 2: Convert to fraction form
    8,364.25/11,544.47 = 5,007.81/x
  3. Step 3: Cross multiply
    8,364.25x = 11,544.47 × 5,007.81
  4. Step 4: Simplify right side
    8,364.25x = 57,812,512.31
  5. Step 5: Solve for x
    x = 57,812,512.31/8,364.25
  6. Step 6: Final answer
    x = 6,911.86

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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.