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Finding the Fourth Proportional to 11,564.64, 17,301.33 and 8,912.07

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Solution

The fourth proportional to 11,564.64, 17,301.33 and 8,912.07 is: 13,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.64 : 17,301.33 = 8,912.07 : x
  2. Step 2: Convert to fraction form
    11,564.64/17,301.33 = 8,912.07/x
  3. Step 3: Cross multiply
    11,564.64x = 17,301.33 × 8,912.07
  4. Step 4: Simplify right side
    11,564.64x = 154,190,664.05
  5. Step 5: Solve for x
    x = 154,190,664.05/11,564.64
  6. Step 6: Final answer
    x = 13,332.94

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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.