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Finding the Fourth Proportional to 7,497.88, 11,247 and 2,567.50

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Solution

The fourth proportional to 7,497.88, 11,247 and 2,567.50 is: 3,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.88 : 11,247 = 2,567.50 : x
  2. Step 2: Convert to fraction form
    7,497.88/11,247 = 2,567.50/x
  3. Step 3: Cross multiply
    7,497.88x = 11,247 × 2,567.50
  4. Step 4: Simplify right side
    7,497.88x = 28,876,672.50
  5. Step 5: Solve for x
    x = 28,876,672.50/7,497.88
  6. Step 6: Final answer
    x = 3,851.31

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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.