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Finding the Fourth Proportional to 8,524.02, 12,780.91 and 3,522.54

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Solution

The fourth proportional to 8,524.02, 12,780.91 and 3,522.54 is: 5,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.02 : 12,780.91 = 3,522.54 : x
  2. Step 2: Convert to fraction form
    8,524.02/12,780.91 = 3,522.54/x
  3. Step 3: Cross multiply
    8,524.02x = 12,780.91 × 3,522.54
  4. Step 4: Simplify right side
    8,524.02x = 45,021,266.71
  5. Step 5: Solve for x
    x = 45,021,266.71/8,524.02
  6. Step 6: Final answer
    x = 5,281.69

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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.