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Finding the Fourth Proportional to 7,762.56, 11,649.30 and 4,208.70

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Solution

The fourth proportional to 7,762.56, 11,649.30 and 4,208.70 is: 6,316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.56 : 11,649.30 = 4,208.70 : x
  2. Step 2: Convert to fraction form
    7,762.56/11,649.30 = 4,208.70/x
  3. Step 3: Cross multiply
    7,762.56x = 11,649.30 × 4,208.70
  4. Step 4: Simplify right side
    7,762.56x = 49,028,408.91
  5. Step 5: Solve for x
    x = 49,028,408.91/7,762.56
  6. Step 6: Final answer
    x = 6,316.01

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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.