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Finding the Fourth Proportional to 7,762.03, 11,643.15 and 2,215.37

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Solution

The fourth proportional to 7,762.03, 11,643.15 and 2,215.37 is: 3,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.03 : 11,643.15 = 2,215.37 : x
  2. Step 2: Convert to fraction form
    7,762.03/11,643.15 = 2,215.37/x
  3. Step 3: Cross multiply
    7,762.03x = 11,643.15 × 2,215.37
  4. Step 4: Simplify right side
    7,762.03x = 25,793,874.14
  5. Step 5: Solve for x
    x = 25,793,874.14/7,762.03
  6. Step 6: Final answer
    x = 3,323.09

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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.