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Finding the Fourth Proportional to 7,441.88, 11,162.82 and 3,335

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Solution

The fourth proportional to 7,441.88, 11,162.82 and 3,335 is: 5,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.88 : 11,162.82 = 3,335 : x
  2. Step 2: Convert to fraction form
    7,441.88/11,162.82 = 3,335/x
  3. Step 3: Cross multiply
    7,441.88x = 11,162.82 × 3,335
  4. Step 4: Simplify right side
    7,441.88x = 37,228,004.70
  5. Step 5: Solve for x
    x = 37,228,004.70/7,441.88
  6. Step 6: Final answer
    x = 5,002.50

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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.