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Finding the Fourth Proportional to 7,855.17, 11,784.05 and 3,642.65

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Solution

The fourth proportional to 7,855.17, 11,784.05 and 3,642.65 is: 5,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.17 : 11,784.05 = 3,642.65 : x
  2. Step 2: Convert to fraction form
    7,855.17/11,784.05 = 3,642.65/x
  3. Step 3: Cross multiply
    7,855.17x = 11,784.05 × 3,642.65
  4. Step 4: Simplify right side
    7,855.17x = 42,925,169.73
  5. Step 5: Solve for x
    x = 42,925,169.73/7,855.17
  6. Step 6: Final answer
    x = 5,464.58

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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.