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Finding the Fourth Proportional to 7,401.02, 10,213.47 and 4,748.48

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Solution

The fourth proportional to 7,401.02, 10,213.47 and 4,748.48 is: 6,552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.02 : 10,213.47 = 4,748.48 : x
  2. Step 2: Convert to fraction form
    7,401.02/10,213.47 = 4,748.48/x
  3. Step 3: Cross multiply
    7,401.02x = 10,213.47 × 4,748.48
  4. Step 4: Simplify right side
    7,401.02x = 48,498,458.03
  5. Step 5: Solve for x
    x = 48,498,458.03/7,401.02
  6. Step 6: Final answer
    x = 6,552.94

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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.