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Finding the Fourth Proportional to 7,783.13, 11,674.68 and 2,853.16

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Solution

The fourth proportional to 7,783.13, 11,674.68 and 2,853.16 is: 4,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.13 : 11,674.68 = 2,853.16 : x
  2. Step 2: Convert to fraction form
    7,783.13/11,674.68 = 2,853.16/x
  3. Step 3: Cross multiply
    7,783.13x = 11,674.68 × 2,853.16
  4. Step 4: Simplify right side
    7,783.13x = 33,309,729.99
  5. Step 5: Solve for x
    x = 33,309,729.99/7,783.13
  6. Step 6: Final answer
    x = 4,279.74

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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.