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Finding the Fourth Proportional to 10,014.63, 15,021.78 and 4,090.22

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Solution

The fourth proportional to 10,014.63, 15,021.78 and 4,090.22 is: 6,135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.63 : 15,021.78 = 4,090.22 : x
  2. Step 2: Convert to fraction form
    10,014.63/15,021.78 = 4,090.22/x
  3. Step 3: Cross multiply
    10,014.63x = 15,021.78 × 4,090.22
  4. Step 4: Simplify right side
    10,014.63x = 61,442,309.88
  5. Step 5: Solve for x
    x = 61,442,309.88/10,014.63
  6. Step 6: Final answer
    x = 6,135.26

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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.