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Finding the Fourth Proportional to 10,071.99, 15,104.37 and 3,830.34

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Solution

The fourth proportional to 10,071.99, 15,104.37 and 3,830.34 is: 5,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.99 : 15,104.37 = 3,830.34 : x
  2. Step 2: Convert to fraction form
    10,071.99/15,104.37 = 3,830.34/x
  3. Step 3: Cross multiply
    10,071.99x = 15,104.37 × 3,830.34
  4. Step 4: Simplify right side
    10,071.99x = 57,854,872.59
  5. Step 5: Solve for x
    x = 57,854,872.59/10,071.99
  6. Step 6: Final answer
    x = 5,744.14

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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.