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Finding the Fourth Proportional to 10,361.64, 14,303.87 and 6,111.27

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Solution

The fourth proportional to 10,361.64, 14,303.87 and 6,111.27 is: 8,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.64 : 14,303.87 = 6,111.27 : x
  2. Step 2: Convert to fraction form
    10,361.64/14,303.87 = 6,111.27/x
  3. Step 3: Cross multiply
    10,361.64x = 14,303.87 × 6,111.27
  4. Step 4: Simplify right side
    10,361.64x = 87,414,781.06
  5. Step 5: Solve for x
    x = 87,414,781.06/10,361.64
  6. Step 6: Final answer
    x = 8,436.38

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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.