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Finding the Fourth Proportional to 7,666.67, 11,444.06 and 6,578.03

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Solution

The fourth proportional to 7,666.67, 11,444.06 and 6,578.03 is: 9,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.67 : 11,444.06 = 6,578.03 : x
  2. Step 2: Convert to fraction form
    7,666.67/11,444.06 = 6,578.03/x
  3. Step 3: Cross multiply
    7,666.67x = 11,444.06 × 6,578.03
  4. Step 4: Simplify right side
    7,666.67x = 75,279,415.06
  5. Step 5: Solve for x
    x = 75,279,415.06/7,666.67
  6. Step 6: Final answer
    x = 9,819.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.