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Finding the Fourth Proportional to 10,853.70, 16,283.80 and 7,697.22

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Solution

The fourth proportional to 10,853.70, 16,283.80 and 7,697.22 is: 11,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.70 : 16,283.80 = 7,697.22 : x
  2. Step 2: Convert to fraction form
    10,853.70/16,283.80 = 7,697.22/x
  3. Step 3: Cross multiply
    10,853.70x = 16,283.80 × 7,697.22
  4. Step 4: Simplify right side
    10,853.70x = 125,339,991.04
  5. Step 5: Solve for x
    x = 125,339,991.04/10,853.70
  6. Step 6: Final answer
    x = 11,548.13

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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.