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Finding the Fourth Proportional to 8,539.90, 11,786.16 and 5,184.04

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Solution

The fourth proportional to 8,539.90, 11,786.16 and 5,184.04 is: 7,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.90 : 11,786.16 = 5,184.04 : x
  2. Step 2: Convert to fraction form
    8,539.90/11,786.16 = 5,184.04/x
  3. Step 3: Cross multiply
    8,539.90x = 11,786.16 × 5,184.04
  4. Step 4: Simplify right side
    8,539.90x = 61,099,924.89
  5. Step 5: Solve for x
    x = 61,099,924.89/8,539.90
  6. Step 6: Final answer
    x = 7,154.64

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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.