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Finding the Fourth Proportional to 7,525.74, 11,295.56 and 3,830.64

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Solution

The fourth proportional to 7,525.74, 11,295.56 and 3,830.64 is: 5,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.74 : 11,295.56 = 3,830.64 : x
  2. Step 2: Convert to fraction form
    7,525.74/11,295.56 = 3,830.64/x
  3. Step 3: Cross multiply
    7,525.74x = 11,295.56 × 3,830.64
  4. Step 4: Simplify right side
    7,525.74x = 43,269,169.63
  5. Step 5: Solve for x
    x = 43,269,169.63/7,525.74
  6. Step 6: Final answer
    x = 5,749.49

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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.