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Finding the Fourth Proportional to 7,540.84, 11,311.02 and 3,098.34

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Solution

The fourth proportional to 7,540.84, 11,311.02 and 3,098.34 is: 4,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.84 : 11,311.02 = 3,098.34 : x
  2. Step 2: Convert to fraction form
    7,540.84/11,311.02 = 3,098.34/x
  3. Step 3: Cross multiply
    7,540.84x = 11,311.02 × 3,098.34
  4. Step 4: Simplify right side
    7,540.84x = 35,045,385.71
  5. Step 5: Solve for x
    x = 35,045,385.71/7,540.84
  6. Step 6: Final answer
    x = 4,647.41

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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.