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Finding the Fourth Proportional to 8,738.94, 12,059.64 and 5,202.21

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Solution

The fourth proportional to 8,738.94, 12,059.64 and 5,202.21 is: 7,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.94 : 12,059.64 = 5,202.21 : x
  2. Step 2: Convert to fraction form
    8,738.94/12,059.64 = 5,202.21/x
  3. Step 3: Cross multiply
    8,738.94x = 12,059.64 × 5,202.21
  4. Step 4: Simplify right side
    8,738.94x = 62,736,779.80
  5. Step 5: Solve for x
    x = 62,736,779.80/8,738.94
  6. Step 6: Final answer
    x = 7,178.99

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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.