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Finding the Fourth Proportional to 11,287.69, 15,606.74 and 9,886.42

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Solution

The fourth proportional to 11,287.69, 15,606.74 and 9,886.42 is: 13,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.69 : 15,606.74 = 9,886.42 : x
  2. Step 2: Convert to fraction form
    11,287.69/15,606.74 = 9,886.42/x
  3. Step 3: Cross multiply
    11,287.69x = 15,606.74 × 9,886.42
  4. Step 4: Simplify right side
    11,287.69x = 154,294,786.47
  5. Step 5: Solve for x
    x = 154,294,786.47/11,287.69
  6. Step 6: Final answer
    x = 13,669.30

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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.