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Finding the Fourth Proportional to 10,051.94, 15,082.82 and 7,109.29

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Solution

The fourth proportional to 10,051.94, 15,082.82 and 7,109.29 is: 10,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.94 : 15,082.82 = 7,109.29 : x
  2. Step 2: Convert to fraction form
    10,051.94/15,082.82 = 7,109.29/x
  3. Step 3: Cross multiply
    10,051.94x = 15,082.82 × 7,109.29
  4. Step 4: Simplify right side
    10,051.94x = 107,228,164.69
  5. Step 5: Solve for x
    x = 107,228,164.69/10,051.94
  6. Step 6: Final answer
    x = 10,667.41

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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.