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Finding the Fourth Proportional to 7,762.83, 11,640.68 and 2,496.87

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Solution

The fourth proportional to 7,762.83, 11,640.68 and 2,496.87 is: 3,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.83 : 11,640.68 = 2,496.87 : x
  2. Step 2: Convert to fraction form
    7,762.83/11,640.68 = 2,496.87/x
  3. Step 3: Cross multiply
    7,762.83x = 11,640.68 × 2,496.87
  4. Step 4: Simplify right side
    7,762.83x = 29,065,264.67
  5. Step 5: Solve for x
    x = 29,065,264.67/7,762.83
  6. Step 6: Final answer
    x = 3,744.16

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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.