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Finding the Fourth Proportional to 11,762.82, 17,627.81 and 6,500.35

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Solution

The fourth proportional to 11,762.82, 17,627.81 and 6,500.35 is: 9,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.82 : 17,627.81 = 6,500.35 : x
  2. Step 2: Convert to fraction form
    11,762.82/17,627.81 = 6,500.35/x
  3. Step 3: Cross multiply
    11,762.82x = 17,627.81 × 6,500.35
  4. Step 4: Simplify right side
    11,762.82x = 114,586,960.83
  5. Step 5: Solve for x
    x = 114,586,960.83/11,762.82
  6. Step 6: Final answer
    x = 9,741.45

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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.