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Finding the Fourth Proportional to 7,401.44, 10,202.48 and 5,039.52

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Solution

The fourth proportional to 7,401.44, 10,202.48 and 5,039.52 is: 6,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.44 : 10,202.48 = 5,039.52 : x
  2. Step 2: Convert to fraction form
    7,401.44/10,202.48 = 5,039.52/x
  3. Step 3: Cross multiply
    7,401.44x = 10,202.48 × 5,039.52
  4. Step 4: Simplify right side
    7,401.44x = 51,415,602.01
  5. Step 5: Solve for x
    x = 51,415,602.01/7,401.44
  6. Step 6: Final answer
    x = 6,946.70

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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.