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Finding the Fourth Proportional to 11,758.12, 17,657.80 and 9,128.59

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Solution

The fourth proportional to 11,758.12, 17,657.80 and 9,128.59 is: 13,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.12 : 17,657.80 = 9,128.59 : x
  2. Step 2: Convert to fraction form
    11,758.12/17,657.80 = 9,128.59/x
  3. Step 3: Cross multiply
    11,758.12x = 17,657.80 × 9,128.59
  4. Step 4: Simplify right side
    11,758.12x = 161,190,749.54
  5. Step 5: Solve for x
    x = 161,190,749.54/11,758.12
  6. Step 6: Final answer
    x = 13,708.89

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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.