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Finding the Fourth Proportional to 11,817.80, 16,305.62 and 7,621

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Solution

The fourth proportional to 11,817.80, 16,305.62 and 7,621 is: 10,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.80 : 16,305.62 = 7,621 : x
  2. Step 2: Convert to fraction form
    11,817.80/16,305.62 = 7,621/x
  3. Step 3: Cross multiply
    11,817.80x = 16,305.62 × 7,621
  4. Step 4: Simplify right side
    11,817.80x = 124,265,130.02
  5. Step 5: Solve for x
    x = 124,265,130.02/11,817.80
  6. Step 6: Final answer
    x = 10,515.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.