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Finding the Fourth Proportional to 8,542.22, 11,788.32 and 5,005.46

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Solution

The fourth proportional to 8,542.22, 11,788.32 and 5,005.46 is: 6,907.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.22 : 11,788.32 = 5,005.46 : x
  2. Step 2: Convert to fraction form
    8,542.22/11,788.32 = 5,005.46/x
  3. Step 3: Cross multiply
    8,542.22x = 11,788.32 × 5,005.46
  4. Step 4: Simplify right side
    8,542.22x = 59,005,964.23
  5. Step 5: Solve for x
    x = 59,005,964.23/8,542.22
  6. Step 6: Final answer
    x = 6,907.57

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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.