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Finding the Fourth Proportional to 11,439.77, 15,786.14 and 6,403.13

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Solution

The fourth proportional to 11,439.77, 15,786.14 and 6,403.13 is: 8,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.77 : 15,786.14 = 6,403.13 : x
  2. Step 2: Convert to fraction form
    11,439.77/15,786.14 = 6,403.13/x
  3. Step 3: Cross multiply
    11,439.77x = 15,786.14 × 6,403.13
  4. Step 4: Simplify right side
    11,439.77x = 101,080,762.09
  5. Step 5: Solve for x
    x = 101,080,762.09/11,439.77
  6. Step 6: Final answer
    x = 8,835.91

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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.