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Finding the Fourth Proportional to 7,664.68, 11,491.16 and 3,501.80

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Solution

The fourth proportional to 7,664.68, 11,491.16 and 3,501.80 is: 5,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.68 : 11,491.16 = 3,501.80 : x
  2. Step 2: Convert to fraction form
    7,664.68/11,491.16 = 3,501.80/x
  3. Step 3: Cross multiply
    7,664.68x = 11,491.16 × 3,501.80
  4. Step 4: Simplify right side
    7,664.68x = 40,239,744.09
  5. Step 5: Solve for x
    x = 40,239,744.09/7,664.68
  6. Step 6: Final answer
    x = 5,250.02

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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.