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Finding the Fourth Proportional to 10,069.32, 13,896.93 and 6,090.43

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Solution

The fourth proportional to 10,069.32, 13,896.93 and 6,090.43 is: 8,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.32 : 13,896.93 = 6,090.43 : x
  2. Step 2: Convert to fraction form
    10,069.32/13,896.93 = 6,090.43/x
  3. Step 3: Cross multiply
    10,069.32x = 13,896.93 × 6,090.43
  4. Step 4: Simplify right side
    10,069.32x = 84,638,279.38
  5. Step 5: Solve for x
    x = 84,638,279.38/10,069.32
  6. Step 6: Final answer
    x = 8,405.56

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Why These Related Problems?

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