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Finding the Fourth Proportional to 7,525.50, 11,290.62 and 3,369

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Solution

The fourth proportional to 7,525.50, 11,290.62 and 3,369 is: 5,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.50 : 11,290.62 = 3,369 : x
  2. Step 2: Convert to fraction form
    7,525.50/11,290.62 = 3,369/x
  3. Step 3: Cross multiply
    7,525.50x = 11,290.62 × 3,369
  4. Step 4: Simplify right side
    7,525.50x = 38,038,098.78
  5. Step 5: Solve for x
    x = 38,038,098.78/7,525.50
  6. Step 6: Final answer
    x = 5,054.56

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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.