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Finding the Fourth Proportional to 11,820.33, 17,736.12 and 7,376.78

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Solution

The fourth proportional to 11,820.33, 17,736.12 and 7,376.78 is: 11,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.33 : 17,736.12 = 7,376.78 : x
  2. Step 2: Convert to fraction form
    11,820.33/17,736.12 = 7,376.78/x
  3. Step 3: Cross multiply
    11,820.33x = 17,736.12 × 7,376.78
  4. Step 4: Simplify right side
    11,820.33x = 130,835,499.63
  5. Step 5: Solve for x
    x = 130,835,499.63/11,820.33
  6. Step 6: Final answer
    x = 11,068.69

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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.