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Finding the Fourth Proportional to 11,848.68, 17,784.18 and 6,009.48

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Solution

The fourth proportional to 11,848.68, 17,784.18 and 6,009.48 is: 9,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.68 : 17,784.18 = 6,009.48 : x
  2. Step 2: Convert to fraction form
    11,848.68/17,784.18 = 6,009.48/x
  3. Step 3: Cross multiply
    11,848.68x = 17,784.18 × 6,009.48
  4. Step 4: Simplify right side
    11,848.68x = 106,873,674.03
  5. Step 5: Solve for x
    x = 106,873,674.03/11,848.68
  6. Step 6: Final answer
    x = 9,019.88

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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.