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Finding the Fourth Proportional to 11,386.44, 15,713.12 and 6,351.01

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Solution

The fourth proportional to 11,386.44, 15,713.12 and 6,351.01 is: 8,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.44 : 15,713.12 = 6,351.01 : x
  2. Step 2: Convert to fraction form
    11,386.44/15,713.12 = 6,351.01/x
  3. Step 3: Cross multiply
    11,386.44x = 15,713.12 × 6,351.01
  4. Step 4: Simplify right side
    11,386.44x = 99,794,158.85
  5. Step 5: Solve for x
    x = 99,794,158.85/11,386.44
  6. Step 6: Final answer
    x = 8,764.30

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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.