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Finding the Fourth Proportional to 11,853.77, 17,780.02 and 6,010.23

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Solution

The fourth proportional to 11,853.77, 17,780.02 and 6,010.23 is: 9,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.77 : 17,780.02 = 6,010.23 : x
  2. Step 2: Convert to fraction form
    11,853.77/17,780.02 = 6,010.23/x
  3. Step 3: Cross multiply
    11,853.77x = 17,780.02 × 6,010.23
  4. Step 4: Simplify right side
    11,853.77x = 106,862,009.60
  5. Step 5: Solve for x
    x = 106,862,009.60/11,853.77
  6. Step 6: Final answer
    x = 9,015.02

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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.