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Finding the Fourth Proportional to 10,430.01, 15,629.31 and 6,265.44

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Solution

The fourth proportional to 10,430.01, 15,629.31 and 6,265.44 is: 9,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.01 : 15,629.31 = 6,265.44 : x
  2. Step 2: Convert to fraction form
    10,430.01/15,629.31 = 6,265.44/x
  3. Step 3: Cross multiply
    10,430.01x = 15,629.31 × 6,265.44
  4. Step 4: Simplify right side
    10,430.01x = 97,924,504.05
  5. Step 5: Solve for x
    x = 97,924,504.05/10,430.01
  6. Step 6: Final answer
    x = 9,388.73

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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.