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Finding the Fourth Proportional to 8,242.18, 11,374.49 and 4,705.31

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Solution

The fourth proportional to 8,242.18, 11,374.49 and 4,705.31 is: 6,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.18 : 11,374.49 = 4,705.31 : x
  2. Step 2: Convert to fraction form
    8,242.18/11,374.49 = 4,705.31/x
  3. Step 3: Cross multiply
    8,242.18x = 11,374.49 × 4,705.31
  4. Step 4: Simplify right side
    8,242.18x = 53,520,541.74
  5. Step 5: Solve for x
    x = 53,520,541.74/8,242.18
  6. Step 6: Final answer
    x = 6,493.50

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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.