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Finding the Fourth Proportional to 27,283.17, 40,924.64 and 7,561.67

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Solution

The fourth proportional to 27,283.17, 40,924.64 and 7,561.67 is: 11,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,283.17 : 40,924.64 = 7,561.67 : x
  2. Step 2: Convert to fraction form
    27,283.17/40,924.64 = 7,561.67/x
  3. Step 3: Cross multiply
    27,283.17x = 40,924.64 × 7,561.67
  4. Step 4: Simplify right side
    27,283.17x = 309,458,380.12
  5. Step 5: Solve for x
    x = 309,458,380.12/27,283.17
  6. Step 6: Final answer
    x = 11,342.46

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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.