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Finding the Fourth Proportional to 7,475.52, 11,205.84 and 2,544

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Solution

The fourth proportional to 7,475.52, 11,205.84 and 2,544 is: 3,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.52 : 11,205.84 = 2,544 : x
  2. Step 2: Convert to fraction form
    7,475.52/11,205.84 = 2,544/x
  3. Step 3: Cross multiply
    7,475.52x = 11,205.84 × 2,544
  4. Step 4: Simplify right side
    7,475.52x = 28,507,656.96
  5. Step 5: Solve for x
    x = 28,507,656.96/7,475.52
  6. Step 6: Final answer
    x = 3,813.47

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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.