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Finding the Fourth Proportional to 7,743.01, 11,615.73 and 2,547.67

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Solution

The fourth proportional to 7,743.01, 11,615.73 and 2,547.67 is: 3,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.01 : 11,615.73 = 2,547.67 : x
  2. Step 2: Convert to fraction form
    7,743.01/11,615.73 = 2,547.67/x
  3. Step 3: Cross multiply
    7,743.01x = 11,615.73 × 2,547.67
  4. Step 4: Simplify right side
    7,743.01x = 29,593,046.85
  5. Step 5: Solve for x
    x = 29,593,046.85/7,743.01
  6. Step 6: Final answer
    x = 3,821.90

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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.