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Finding the Fourth Proportional to 7,738.36, 11,598.01 and 3,572.73

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Solution

The fourth proportional to 7,738.36, 11,598.01 and 3,572.73 is: 5,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.36 : 11,598.01 = 3,572.73 : x
  2. Step 2: Convert to fraction form
    7,738.36/11,598.01 = 3,572.73/x
  3. Step 3: Cross multiply
    7,738.36x = 11,598.01 × 3,572.73
  4. Step 4: Simplify right side
    7,738.36x = 41,436,549.34
  5. Step 5: Solve for x
    x = 41,436,549.34/7,738.36
  6. Step 6: Final answer
    x = 5,354.70

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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.