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Finding the Fourth Proportional to 7,895.21, 11,842.70 and 2,273.02

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Solution

The fourth proportional to 7,895.21, 11,842.70 and 2,273.02 is: 3,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.21 : 11,842.70 = 2,273.02 : x
  2. Step 2: Convert to fraction form
    7,895.21/11,842.70 = 2,273.02/x
  3. Step 3: Cross multiply
    7,895.21x = 11,842.70 × 2,273.02
  4. Step 4: Simplify right side
    7,895.21x = 26,918,693.95
  5. Step 5: Solve for x
    x = 26,918,693.95/7,895.21
  6. Step 6: Final answer
    x = 3,409.50

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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.