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Finding the Fourth Proportional to 27,283.75, 40,925.48 and 7,562.24

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Solution

The fourth proportional to 27,283.75, 40,925.48 and 7,562.24 is: 11,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,283.75 : 40,925.48 = 7,562.24 : x
  2. Step 2: Convert to fraction form
    27,283.75/40,925.48 = 7,562.24/x
  3. Step 3: Cross multiply
    27,283.75x = 40,925.48 × 7,562.24
  4. Step 4: Simplify right side
    27,283.75x = 309,488,059.44
  5. Step 5: Solve for x
    x = 309,488,059.44/27,283.75
  6. Step 6: Final answer
    x = 11,343.31

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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.