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Finding the Fourth Proportional to 8,385.63, 12,580.38 and 4,215.21

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Solution

The fourth proportional to 8,385.63, 12,580.38 and 4,215.21 is: 6,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.63 : 12,580.38 = 4,215.21 : x
  2. Step 2: Convert to fraction form
    8,385.63/12,580.38 = 4,215.21/x
  3. Step 3: Cross multiply
    8,385.63x = 12,580.38 × 4,215.21
  4. Step 4: Simplify right side
    8,385.63x = 53,028,943.58
  5. Step 5: Solve for x
    x = 53,028,943.58/8,385.63
  6. Step 6: Final answer
    x = 6,323.79

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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.