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Finding the Fourth Proportional to 7,762.15, 11,640.12 and 3,376.54

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Solution

The fourth proportional to 7,762.15, 11,640.12 and 3,376.54 is: 5,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.15 : 11,640.12 = 3,376.54 : x
  2. Step 2: Convert to fraction form
    7,762.15/11,640.12 = 3,376.54/x
  3. Step 3: Cross multiply
    7,762.15x = 11,640.12 × 3,376.54
  4. Step 4: Simplify right side
    7,762.15x = 39,303,330.78
  5. Step 5: Solve for x
    x = 39,303,330.78/7,762.15
  6. Step 6: Final answer
    x = 5,063.46

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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.