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Finding the Fourth Proportional to 7,766.19, 11,649.89 and 2,572.06

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Solution

The fourth proportional to 7,766.19, 11,649.89 and 2,572.06 is: 3,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.19 : 11,649.89 = 2,572.06 : x
  2. Step 2: Convert to fraction form
    7,766.19/11,649.89 = 2,572.06/x
  3. Step 3: Cross multiply
    7,766.19x = 11,649.89 × 2,572.06
  4. Step 4: Simplify right side
    7,766.19x = 29,964,216.07
  5. Step 5: Solve for x
    x = 29,964,216.07/7,766.19
  6. Step 6: Final answer
    x = 3,858.29

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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.