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Finding the Fourth Proportional to 27,970.12, 41,955.18 and 7,192

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Solution

The fourth proportional to 27,970.12, 41,955.18 and 7,192 is: 10,788

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.12 : 41,955.18 = 7,192 : x
  2. Step 2: Convert to fraction form
    27,970.12/41,955.18 = 7,192/x
  3. Step 3: Cross multiply
    27,970.12x = 41,955.18 × 7,192
  4. Step 4: Simplify right side
    27,970.12x = 301,741,654.56
  5. Step 5: Solve for x
    x = 301,741,654.56/27,970.12
  6. Step 6: Final answer
    x = 10,788

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.