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Finding the Fourth Proportional to 7,807.21, 11,709.09 and 2,259.34

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Solution

The fourth proportional to 7,807.21, 11,709.09 and 2,259.34 is: 3,388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.21 : 11,709.09 = 2,259.34 : x
  2. Step 2: Convert to fraction form
    7,807.21/11,709.09 = 2,259.34/x
  3. Step 3: Cross multiply
    7,807.21x = 11,709.09 × 2,259.34
  4. Step 4: Simplify right side
    7,807.21x = 26,454,815.40
  5. Step 5: Solve for x
    x = 26,454,815.40/7,807.21
  6. Step 6: Final answer
    x = 3,388.51

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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.