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Finding the Fourth Proportional to 27,009.72, 40,511.70 and 7,290.30

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Solution

The fourth proportional to 27,009.72, 40,511.70 and 7,290.30 is: 10,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009.72 : 40,511.70 = 7,290.30 : x
  2. Step 2: Convert to fraction form
    27,009.72/40,511.70 = 7,290.30/x
  3. Step 3: Cross multiply
    27,009.72x = 40,511.70 × 7,290.30
  4. Step 4: Simplify right side
    27,009.72x = 295,342,446.51
  5. Step 5: Solve for x
    x = 295,342,446.51/27,009.72
  6. Step 6: Final answer
    x = 10,934.67

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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.