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Finding the Fourth Proportional to 6,802.50, 10,203.75 and 2,698.50

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Solution

The fourth proportional to 6,802.50, 10,203.75 and 2,698.50 is: 4,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.50 : 10,203.75 = 2,698.50 : x
  2. Step 2: Convert to fraction form
    6,802.50/10,203.75 = 2,698.50/x
  3. Step 3: Cross multiply
    6,802.50x = 10,203.75 × 2,698.50
  4. Step 4: Simplify right side
    6,802.50x = 27,534,819.38
  5. Step 5: Solve for x
    x = 27,534,819.38/6,802.50
  6. Step 6: Final answer
    x = 4,047.75

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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.