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Finding the Fourth Proportional to 10,802.82, 14,907.80 and 6,022.71

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Solution

The fourth proportional to 10,802.82, 14,907.80 and 6,022.71 is: 8,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.82 : 14,907.80 = 6,022.71 : x
  2. Step 2: Convert to fraction form
    10,802.82/14,907.80 = 6,022.71/x
  3. Step 3: Cross multiply
    10,802.82x = 14,907.80 × 6,022.71
  4. Step 4: Simplify right side
    10,802.82x = 89,785,356.14
  5. Step 5: Solve for x
    x = 89,785,356.14/10,802.82
  6. Step 6: Final answer
    x = 8,311.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.