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Finding the Fourth Proportional to 10,445.90, 14,414.81 and 5,969.07

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Solution

The fourth proportional to 10,445.90, 14,414.81 and 5,969.07 is: 8,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.90 : 14,414.81 = 5,969.07 : x
  2. Step 2: Convert to fraction form
    10,445.90/14,414.81 = 5,969.07/x
  3. Step 3: Cross multiply
    10,445.90x = 14,414.81 × 5,969.07
  4. Step 4: Simplify right side
    10,445.90x = 86,042,980.08
  5. Step 5: Solve for x
    x = 86,042,980.08/10,445.90
  6. Step 6: Final answer
    x = 8,237.01

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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.