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Finding the Fourth Proportional to 10,109.68, 15,174.15 and 7,301.32

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Solution

The fourth proportional to 10,109.68, 15,174.15 and 7,301.32 is: 10,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.68 : 15,174.15 = 7,301.32 : x
  2. Step 2: Convert to fraction form
    10,109.68/15,174.15 = 7,301.32/x
  3. Step 3: Cross multiply
    10,109.68x = 15,174.15 × 7,301.32
  4. Step 4: Simplify right side
    10,109.68x = 110,791,324.88
  5. Step 5: Solve for x
    x = 110,791,324.88/10,109.68
  6. Step 6: Final answer
    x = 10,958.93

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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.