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Finding the Fourth Proportional to 7,853.64, 11,780.04 and 2,009.88

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Solution

The fourth proportional to 7,853.64, 11,780.04 and 2,009.88 is: 3,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.64 : 11,780.04 = 2,009.88 : x
  2. Step 2: Convert to fraction form
    7,853.64/11,780.04 = 2,009.88/x
  3. Step 3: Cross multiply
    7,853.64x = 11,780.04 × 2,009.88
  4. Step 4: Simplify right side
    7,853.64x = 23,676,466.80
  5. Step 5: Solve for x
    x = 23,676,466.80/7,853.64
  6. Step 6: Final answer
    x = 3,014.71

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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.