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Finding the Fourth Proportional to 7,534.84, 11,302.03 and 3,092.34

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Solution

The fourth proportional to 7,534.84, 11,302.03 and 3,092.34 is: 4,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.84 : 11,302.03 = 3,092.34 : x
  2. Step 2: Convert to fraction form
    7,534.84/11,302.03 = 3,092.34/x
  3. Step 3: Cross multiply
    7,534.84x = 11,302.03 × 3,092.34
  4. Step 4: Simplify right side
    7,534.84x = 34,949,765.70
  5. Step 5: Solve for x
    x = 34,949,765.70/7,534.84
  6. Step 6: Final answer
    x = 4,638.42

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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.