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Finding the Fourth Proportional to 7,580.52, 11,408.04 and 6,274.80

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Solution

The fourth proportional to 7,580.52, 11,408.04 and 6,274.80 is: 9,443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.52 : 11,408.04 = 6,274.80 : x
  2. Step 2: Convert to fraction form
    7,580.52/11,408.04 = 6,274.80/x
  3. Step 3: Cross multiply
    7,580.52x = 11,408.04 × 6,274.80
  4. Step 4: Simplify right side
    7,580.52x = 71,583,169.39
  5. Step 5: Solve for x
    x = 71,583,169.39/7,580.52
  6. Step 6: Final answer
    x = 9,443.04

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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.