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Finding the Fourth Proportional to 11,476.67, 15,837.75 and 6,699.89

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Solution

The fourth proportional to 11,476.67, 15,837.75 and 6,699.89 is: 9,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.67 : 15,837.75 = 6,699.89 : x
  2. Step 2: Convert to fraction form
    11,476.67/15,837.75 = 6,699.89/x
  3. Step 3: Cross multiply
    11,476.67x = 15,837.75 × 6,699.89
  4. Step 4: Simplify right side
    11,476.67x = 106,111,222.44
  5. Step 5: Solve for x
    x = 106,111,222.44/11,476.67
  6. Step 6: Final answer
    x = 9,245.82

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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.