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Finding the Fourth Proportional to 7,805.07, 11,709.32 and 2,258.63

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Solution

The fourth proportional to 7,805.07, 11,709.32 and 2,258.63 is: 3,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.07 : 11,709.32 = 2,258.63 : x
  2. Step 2: Convert to fraction form
    7,805.07/11,709.32 = 2,258.63/x
  3. Step 3: Cross multiply
    7,805.07x = 11,709.32 × 2,258.63
  4. Step 4: Simplify right side
    7,805.07x = 26,446,995.50
  5. Step 5: Solve for x
    x = 26,446,995.50/7,805.07
  6. Step 6: Final answer
    x = 3,388.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.