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Finding the Fourth Proportional to 11,767.69, 17,655.58 and 7,380.01

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Solution

The fourth proportional to 11,767.69, 17,655.58 and 7,380.01 is: 11,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.69 : 17,655.58 = 7,380.01 : x
  2. Step 2: Convert to fraction form
    11,767.69/17,655.58 = 7,380.01/x
  3. Step 3: Cross multiply
    11,767.69x = 17,655.58 × 7,380.01
  4. Step 4: Simplify right side
    11,767.69x = 130,298,268.68
  5. Step 5: Solve for x
    x = 130,298,268.68/11,767.69
  6. Step 6: Final answer
    x = 11,072.55

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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.