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Finding the Fourth Proportional to 8,466.76, 11,686.44 and 5,109.68

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Solution

The fourth proportional to 8,466.76, 11,686.44 and 5,109.68 is: 7,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.76 : 11,686.44 = 5,109.68 : x
  2. Step 2: Convert to fraction form
    8,466.76/11,686.44 = 5,109.68/x
  3. Step 3: Cross multiply
    8,466.76x = 11,686.44 × 5,109.68
  4. Step 4: Simplify right side
    8,466.76x = 59,713,968.74
  5. Step 5: Solve for x
    x = 59,713,968.74/8,466.76
  6. Step 6: Final answer
    x = 7,052.75

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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.