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Finding the Fourth Proportional to 7,234, 10,848.82 and 3,073.94

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Solution

The fourth proportional to 7,234, 10,848.82 and 3,073.94 is: 4,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234 : 10,848.82 = 3,073.94 : x
  2. Step 2: Convert to fraction form
    7,234/10,848.82 = 3,073.94/x
  3. Step 3: Cross multiply
    7,234x = 10,848.82 × 3,073.94
  4. Step 4: Simplify right side
    7,234x = 33,348,621.75
  5. Step 5: Solve for x
    x = 33,348,621.75/7,234
  6. Step 6: Final answer
    x = 4,609.98

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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.