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Finding the Fourth Proportional to 7,766.51, 11,640.64 and 3,597.71

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Solution

The fourth proportional to 7,766.51, 11,640.64 and 3,597.71 is: 5,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.51 : 11,640.64 = 3,597.71 : x
  2. Step 2: Convert to fraction form
    7,766.51/11,640.64 = 3,597.71/x
  3. Step 3: Cross multiply
    7,766.51x = 11,640.64 × 3,597.71
  4. Step 4: Simplify right side
    7,766.51x = 41,879,646.93
  5. Step 5: Solve for x
    x = 41,879,646.93/7,766.51
  6. Step 6: Final answer
    x = 5,392.34

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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.