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Finding the Fourth Proportional to 8,564.40, 11,796.87 and 6,042.06

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Solution

The fourth proportional to 8,564.40, 11,796.87 and 6,042.06 is: 8,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.40 : 11,796.87 = 6,042.06 : x
  2. Step 2: Convert to fraction form
    8,564.40/11,796.87 = 6,042.06/x
  3. Step 3: Cross multiply
    8,564.40x = 11,796.87 × 6,042.06
  4. Step 4: Simplify right side
    8,564.40x = 71,277,419.01
  5. Step 5: Solve for x
    x = 71,277,419.01/8,564.40
  6. Step 6: Final answer
    x = 8,322.52

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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.