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Finding the Fourth Proportional to 11,828.01, 17,738.37 and 4,035

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Solution

The fourth proportional to 11,828.01, 17,738.37 and 4,035 is: 6,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.01 : 17,738.37 = 4,035 : x
  2. Step 2: Convert to fraction form
    11,828.01/17,738.37 = 4,035/x
  3. Step 3: Cross multiply
    11,828.01x = 17,738.37 × 4,035
  4. Step 4: Simplify right side
    11,828.01x = 71,574,322.95
  5. Step 5: Solve for x
    x = 71,574,322.95/11,828.01
  6. Step 6: Final answer
    x = 6,051.26

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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.