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Finding the Fourth Proportional to 8,215.02, 12,319.29 and 3,283.74

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Solution

The fourth proportional to 8,215.02, 12,319.29 and 3,283.74 is: 4,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.02 : 12,319.29 = 3,283.74 : x
  2. Step 2: Convert to fraction form
    8,215.02/12,319.29 = 3,283.74/x
  3. Step 3: Cross multiply
    8,215.02x = 12,319.29 × 3,283.74
  4. Step 4: Simplify right side
    8,215.02x = 40,453,345.34
  5. Step 5: Solve for x
    x = 40,453,345.34/8,215.02
  6. Step 6: Final answer
    x = 4,924.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.