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Finding the Fourth Proportional to 7,666.26, 11,501.82 and 5,819.46

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Solution

The fourth proportional to 7,666.26, 11,501.82 and 5,819.46 is: 8,731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.26 : 11,501.82 = 5,819.46 : x
  2. Step 2: Convert to fraction form
    7,666.26/11,501.82 = 5,819.46/x
  3. Step 3: Cross multiply
    7,666.26x = 11,501.82 × 5,819.46
  4. Step 4: Simplify right side
    7,666.26x = 66,934,381.42
  5. Step 5: Solve for x
    x = 66,934,381.42/7,666.26
  6. Step 6: Final answer
    x = 8,731.03

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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.