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Finding the Fourth Proportional to 7,775.25, 11,664.03 and 2,508.51

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Solution

The fourth proportional to 7,775.25, 11,664.03 and 2,508.51 is: 3,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.25 : 11,664.03 = 2,508.51 : x
  2. Step 2: Convert to fraction form
    7,775.25/11,664.03 = 2,508.51/x
  3. Step 3: Cross multiply
    7,775.25x = 11,664.03 × 2,508.51
  4. Step 4: Simplify right side
    7,775.25x = 29,259,335.90
  5. Step 5: Solve for x
    x = 29,259,335.90/7,775.25
  6. Step 6: Final answer
    x = 3,763.14

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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.