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Finding the Fourth Proportional to 27,978.48, 41,968.80 and 7,202.52

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Solution

The fourth proportional to 27,978.48, 41,968.80 and 7,202.52 is: 10,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.48 : 41,968.80 = 7,202.52 : x
  2. Step 2: Convert to fraction form
    27,978.48/41,968.80 = 7,202.52/x
  3. Step 3: Cross multiply
    27,978.48x = 41,968.80 × 7,202.52
  4. Step 4: Simplify right side
    27,978.48x = 302,281,121.38
  5. Step 5: Solve for x
    x = 302,281,121.38/27,978.48
  6. Step 6: Final answer
    x = 10,804.06

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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.