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Finding the Fourth Proportional to 11,564.96, 15,959.03 and 6,784.23

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Solution

The fourth proportional to 11,564.96, 15,959.03 and 6,784.23 is: 9,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.96 : 15,959.03 = 6,784.23 : x
  2. Step 2: Convert to fraction form
    11,564.96/15,959.03 = 6,784.23/x
  3. Step 3: Cross multiply
    11,564.96x = 15,959.03 × 6,784.23
  4. Step 4: Simplify right side
    11,564.96x = 108,269,756.02
  5. Step 5: Solve for x
    x = 108,269,756.02/11,564.96
  6. Step 6: Final answer
    x = 9,361.88

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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.