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Finding the Fourth Proportional to 7,704, 11,556.54 and 3,087

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Solution

The fourth proportional to 7,704, 11,556.54 and 3,087 is: 4,630.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704 : 11,556.54 = 3,087 : x
  2. Step 2: Convert to fraction form
    7,704/11,556.54 = 3,087/x
  3. Step 3: Cross multiply
    7,704x = 11,556.54 × 3,087
  4. Step 4: Simplify right side
    7,704x = 35,675,038.98
  5. Step 5: Solve for x
    x = 35,675,038.98/7,704
  6. Step 6: Final answer
    x = 4,630.72

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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.