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Finding the Fourth Proportional to 7,802.48, 11,703.26 and 2,255.70

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Solution

The fourth proportional to 7,802.48, 11,703.26 and 2,255.70 is: 3,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.48 : 11,703.26 = 2,255.70 : x
  2. Step 2: Convert to fraction form
    7,802.48/11,703.26 = 2,255.70/x
  3. Step 3: Cross multiply
    7,802.48x = 11,703.26 × 2,255.70
  4. Step 4: Simplify right side
    7,802.48x = 26,399,093.11
  5. Step 5: Solve for x
    x = 26,399,093.11/7,802.48
  6. Step 6: Final answer
    x = 3,383.42

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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.