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Finding the Fourth Proportional to 10,677.48, 14,734.92 and 6,202.08

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Solution

The fourth proportional to 10,677.48, 14,734.92 and 6,202.08 is: 8,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.48 : 14,734.92 = 6,202.08 : x
  2. Step 2: Convert to fraction form
    10,677.48/14,734.92 = 6,202.08/x
  3. Step 3: Cross multiply
    10,677.48x = 14,734.92 × 6,202.08
  4. Step 4: Simplify right side
    10,677.48x = 91,387,152.63
  5. Step 5: Solve for x
    x = 91,387,152.63/10,677.48
  6. Step 6: Final answer
    x = 8,558.87

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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.