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Finding the Fourth Proportional to 7,762.59, 11,649.53 and 5,820.03

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Solution

The fourth proportional to 7,762.59, 11,649.53 and 5,820.03 is: 8,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.59 : 11,649.53 = 5,820.03 : x
  2. Step 2: Convert to fraction form
    7,762.59/11,649.53 = 5,820.03/x
  3. Step 3: Cross multiply
    7,762.59x = 11,649.53 × 5,820.03
  4. Step 4: Simplify right side
    7,762.59x = 67,800,584.99
  5. Step 5: Solve for x
    x = 67,800,584.99/7,762.59
  6. Step 6: Final answer
    x = 8,734.27

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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.