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Finding the Fourth Proportional to 8,215.34, 11,336.81 and 5,033.93

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Solution

The fourth proportional to 8,215.34, 11,336.81 and 5,033.93 is: 6,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.34 : 11,336.81 = 5,033.93 : x
  2. Step 2: Convert to fraction form
    8,215.34/11,336.81 = 5,033.93/x
  3. Step 3: Cross multiply
    8,215.34x = 11,336.81 × 5,033.93
  4. Step 4: Simplify right side
    8,215.34x = 57,068,626.11
  5. Step 5: Solve for x
    x = 57,068,626.11/8,215.34
  6. Step 6: Final answer
    x = 6,946.60

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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.