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Finding the Fourth Proportional to 10,090.76, 13,917.96 and 7,782.62

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Solution

The fourth proportional to 10,090.76, 13,917.96 and 7,782.62 is: 10,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.76 : 13,917.96 = 7,782.62 : x
  2. Step 2: Convert to fraction form
    10,090.76/13,917.96 = 7,782.62/x
  3. Step 3: Cross multiply
    10,090.76x = 13,917.96 × 7,782.62
  4. Step 4: Simplify right side
    10,090.76x = 108,318,193.86
  5. Step 5: Solve for x
    x = 108,318,193.86/10,090.76
  6. Step 6: Final answer
    x = 10,734.39

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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.