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Finding the Fourth Proportional to 10,224.51, 14,109.05 and 5,747.42

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Solution

The fourth proportional to 10,224.51, 14,109.05 and 5,747.42 is: 7,930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.51 : 14,109.05 = 5,747.42 : x
  2. Step 2: Convert to fraction form
    10,224.51/14,109.05 = 5,747.42/x
  3. Step 3: Cross multiply
    10,224.51x = 14,109.05 × 5,747.42
  4. Step 4: Simplify right side
    10,224.51x = 81,090,536.87
  5. Step 5: Solve for x
    x = 81,090,536.87/10,224.51
  6. Step 6: Final answer
    x = 7,930.99

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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.