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Finding the Fourth Proportional to 10,039.59, 15,059.49 and 4,114.97

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Solution

The fourth proportional to 10,039.59, 15,059.49 and 4,114.97 is: 6,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.59 : 15,059.49 = 4,114.97 : x
  2. Step 2: Convert to fraction form
    10,039.59/15,059.49 = 4,114.97/x
  3. Step 3: Cross multiply
    10,039.59x = 15,059.49 × 4,114.97
  4. Step 4: Simplify right side
    10,039.59x = 61,969,274.27
  5. Step 5: Solve for x
    x = 61,969,274.27/10,039.59
  6. Step 6: Final answer
    x = 6,172.49

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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.