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Finding the Fourth Proportional to 10,705.24, 14,787.35 and 8,218.09

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Solution

The fourth proportional to 10,705.24, 14,787.35 and 8,218.09 is: 11,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.24 : 14,787.35 = 8,218.09 : x
  2. Step 2: Convert to fraction form
    10,705.24/14,787.35 = 8,218.09/x
  3. Step 3: Cross multiply
    10,705.24x = 14,787.35 × 8,218.09
  4. Step 4: Simplify right side
    10,705.24x = 121,523,699.22
  5. Step 5: Solve for x
    x = 121,523,699.22/10,705.24
  6. Step 6: Final answer
    x = 11,351.80

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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.