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Finding the Fourth Proportional to 10,802.31, 14,907.12 and 6,022.31

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Solution

The fourth proportional to 10,802.31, 14,907.12 and 6,022.31 is: 8,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.31 : 14,907.12 = 6,022.31 : x
  2. Step 2: Convert to fraction form
    10,802.31/14,907.12 = 6,022.31/x
  3. Step 3: Cross multiply
    10,802.31x = 14,907.12 × 6,022.31
  4. Step 4: Simplify right side
    10,802.31x = 89,775,223.31
  5. Step 5: Solve for x
    x = 89,775,223.31/10,802.31
  6. Step 6: Final answer
    x = 8,310.74

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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.