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Finding the Fourth Proportional to 11,415.35, 15,747.73 and 7,164.30

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Solution

The fourth proportional to 11,415.35, 15,747.73 and 7,164.30 is: 9,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.35 : 15,747.73 = 7,164.30 : x
  2. Step 2: Convert to fraction form
    11,415.35/15,747.73 = 7,164.30/x
  3. Step 3: Cross multiply
    11,415.35x = 15,747.73 × 7,164.30
  4. Step 4: Simplify right side
    11,415.35x = 112,821,462.04
  5. Step 5: Solve for x
    x = 112,821,462.04/11,415.35
  6. Step 6: Final answer
    x = 9,883.31

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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.