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Finding the Fourth Proportional to 7,855.50, 11,780.74 and 2,589.53

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Solution

The fourth proportional to 7,855.50, 11,780.74 and 2,589.53 is: 3,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.50 : 11,780.74 = 2,589.53 : x
  2. Step 2: Convert to fraction form
    7,855.50/11,780.74 = 2,589.53/x
  3. Step 3: Cross multiply
    7,855.50x = 11,780.74 × 2,589.53
  4. Step 4: Simplify right side
    7,855.50x = 30,506,522.16
  5. Step 5: Solve for x
    x = 30,506,522.16/7,855.50
  6. Step 6: Final answer
    x = 3,883.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.