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Finding the Fourth Proportional to 7,938.34, 11,900.45 and 3,011.44

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Solution

The fourth proportional to 7,938.34, 11,900.45 and 3,011.44 is: 4,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.34 : 11,900.45 = 3,011.44 : x
  2. Step 2: Convert to fraction form
    7,938.34/11,900.45 = 3,011.44/x
  3. Step 3: Cross multiply
    7,938.34x = 11,900.45 × 3,011.44
  4. Step 4: Simplify right side
    7,938.34x = 35,837,491.15
  5. Step 5: Solve for x
    x = 35,837,491.15/7,938.34
  6. Step 6: Final answer
    x = 4,514.48

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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.