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Finding the Fourth Proportional to 8,539.56, 11,784.66 and 4,955.24

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Solution

The fourth proportional to 8,539.56, 11,784.66 and 4,955.24 is: 6,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.56 : 11,784.66 = 4,955.24 : x
  2. Step 2: Convert to fraction form
    8,539.56/11,784.66 = 4,955.24/x
  3. Step 3: Cross multiply
    8,539.56x = 11,784.66 × 4,955.24
  4. Step 4: Simplify right side
    8,539.56x = 58,395,829.50
  5. Step 5: Solve for x
    x = 58,395,829.50/8,539.56
  6. Step 6: Final answer
    x = 6,838.27

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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.