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Finding the Fourth Proportional to 10,090.41, 13,920.93 and 7,444.14

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Solution

The fourth proportional to 10,090.41, 13,920.93 and 7,444.14 is: 10,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.41 : 13,920.93 = 7,444.14 : x
  2. Step 2: Convert to fraction form
    10,090.41/13,920.93 = 7,444.14/x
  3. Step 3: Cross multiply
    10,090.41x = 13,920.93 × 7,444.14
  4. Step 4: Simplify right side
    10,090.41x = 103,629,351.85
  5. Step 5: Solve for x
    x = 103,629,351.85/10,090.41
  6. Step 6: Final answer
    x = 10,270.08

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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.