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Finding the Fourth Proportional to 7,658.83, 11,482.84 and 2,974.94

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Solution

The fourth proportional to 7,658.83, 11,482.84 and 2,974.94 is: 4,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.83 : 11,482.84 = 2,974.94 : x
  2. Step 2: Convert to fraction form
    7,658.83/11,482.84 = 2,974.94/x
  3. Step 3: Cross multiply
    7,658.83x = 11,482.84 × 2,974.94
  4. Step 4: Simplify right side
    7,658.83x = 34,160,749.39
  5. Step 5: Solve for x
    x = 34,160,749.39/7,658.83
  6. Step 6: Final answer
    x = 4,460.31

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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.