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Finding the Fourth Proportional to 7,392.58, 11,092.14 and 2,774.50

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Solution

The fourth proportional to 7,392.58, 11,092.14 and 2,774.50 is: 4,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.58 : 11,092.14 = 2,774.50 : x
  2. Step 2: Convert to fraction form
    7,392.58/11,092.14 = 2,774.50/x
  3. Step 3: Cross multiply
    7,392.58x = 11,092.14 × 2,774.50
  4. Step 4: Simplify right side
    7,392.58x = 30,775,142.43
  5. Step 5: Solve for x
    x = 30,775,142.43/7,392.58
  6. Step 6: Final answer
    x = 4,162.98

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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.