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Finding the Fourth Proportional to 11,507.37, 17,293.55 and 6,828.25

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Solution

The fourth proportional to 11,507.37, 17,293.55 and 6,828.25 is: 10,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.37 : 17,293.55 = 6,828.25 : x
  2. Step 2: Convert to fraction form
    11,507.37/17,293.55 = 6,828.25/x
  3. Step 3: Cross multiply
    11,507.37x = 17,293.55 × 6,828.25
  4. Step 4: Simplify right side
    11,507.37x = 118,084,676.25
  5. Step 5: Solve for x
    x = 118,084,676.25/11,507.37
  6. Step 6: Final answer
    x = 10,261.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.