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Finding the Fourth Proportional to 7,564.51, 11,347.98 and 3,183.22

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Solution

The fourth proportional to 7,564.51, 11,347.98 and 3,183.22 is: 4,775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.51 : 11,347.98 = 3,183.22 : x
  2. Step 2: Convert to fraction form
    7,564.51/11,347.98 = 3,183.22/x
  3. Step 3: Cross multiply
    7,564.51x = 11,347.98 × 3,183.22
  4. Step 4: Simplify right side
    7,564.51x = 36,123,116.90
  5. Step 5: Solve for x
    x = 36,123,116.90/7,564.51
  6. Step 6: Final answer
    x = 4,775.34

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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.