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Finding the Fourth Proportional to 7,762.09, 11,648.78 and 5,819.53

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Solution

The fourth proportional to 7,762.09, 11,648.78 and 5,819.53 is: 8,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.09 : 11,648.78 = 5,819.53 : x
  2. Step 2: Convert to fraction form
    7,762.09/11,648.78 = 5,819.53/x
  3. Step 3: Cross multiply
    7,762.09x = 11,648.78 × 5,819.53
  4. Step 4: Simplify right side
    7,762.09x = 67,790,395.58
  5. Step 5: Solve for x
    x = 67,790,395.58/7,762.09
  6. Step 6: Final answer
    x = 8,733.52

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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.