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Finding the Fourth Proportional to 7,802.28, 11,703.27 and 2,255.40

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Solution

The fourth proportional to 7,802.28, 11,703.27 and 2,255.40 is: 3,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.28 : 11,703.27 = 2,255.40 : x
  2. Step 2: Convert to fraction form
    7,802.28/11,703.27 = 2,255.40/x
  3. Step 3: Cross multiply
    7,802.28x = 11,703.27 × 2,255.40
  4. Step 4: Simplify right side
    7,802.28x = 26,395,555.16
  5. Step 5: Solve for x
    x = 26,395,555.16/7,802.28
  6. Step 6: Final answer
    x = 3,383.06

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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.