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Finding the Fourth Proportional to 7,572.78, 11,342.76 and 3,669

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Solution

The fourth proportional to 7,572.78, 11,342.76 and 3,669 is: 5,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.78 : 11,342.76 = 3,669 : x
  2. Step 2: Convert to fraction form
    7,572.78/11,342.76 = 3,669/x
  3. Step 3: Cross multiply
    7,572.78x = 11,342.76 × 3,669
  4. Step 4: Simplify right side
    7,572.78x = 41,616,586.44
  5. Step 5: Solve for x
    x = 41,616,586.44/7,572.78
  6. Step 6: Final answer
    x = 5,495.55

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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.