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Finding the Fourth Proportional to 8,212.02, 11,339.76 and 6,440.58

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Solution

The fourth proportional to 8,212.02, 11,339.76 and 6,440.58 is: 8,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.02 : 11,339.76 = 6,440.58 : x
  2. Step 2: Convert to fraction form
    8,212.02/11,339.76 = 6,440.58/x
  3. Step 3: Cross multiply
    8,212.02x = 11,339.76 × 6,440.58
  4. Step 4: Simplify right side
    8,212.02x = 73,034,631.46
  5. Step 5: Solve for x
    x = 73,034,631.46/8,212.02
  6. Step 6: Final answer
    x = 8,893.63

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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.