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Finding the Fourth Proportional to 10,039.82, 15,059.64 and 7,850.39

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Solution

The fourth proportional to 10,039.82, 15,059.64 and 7,850.39 is: 11,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.82 : 15,059.64 = 7,850.39 : x
  2. Step 2: Convert to fraction form
    10,039.82/15,059.64 = 7,850.39/x
  3. Step 3: Cross multiply
    10,039.82x = 15,059.64 × 7,850.39
  4. Step 4: Simplify right side
    10,039.82x = 118,224,047.26
  5. Step 5: Solve for x
    x = 118,224,047.26/10,039.82
  6. Step 6: Final answer
    x = 11,775.51

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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.