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Finding the Fourth Proportional to 6,802.31, 10,208.03 and 2,907.63

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Solution

The fourth proportional to 6,802.31, 10,208.03 and 2,907.63 is: 4,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.31 : 10,208.03 = 2,907.63 : x
  2. Step 2: Convert to fraction form
    6,802.31/10,208.03 = 2,907.63/x
  3. Step 3: Cross multiply
    6,802.31x = 10,208.03 × 2,907.63
  4. Step 4: Simplify right side
    6,802.31x = 29,681,159.73
  5. Step 5: Solve for x
    x = 29,681,159.73/6,802.31
  6. Step 6: Final answer
    x = 4,363.39

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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.