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Finding the Fourth Proportional to 8,014.68, 11,059.47 and 4,478.22

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Solution

The fourth proportional to 8,014.68, 11,059.47 and 4,478.22 is: 6,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.68 : 11,059.47 = 4,478.22 : x
  2. Step 2: Convert to fraction form
    8,014.68/11,059.47 = 4,478.22/x
  3. Step 3: Cross multiply
    8,014.68x = 11,059.47 × 4,478.22
  4. Step 4: Simplify right side
    8,014.68x = 49,526,739.74
  5. Step 5: Solve for x
    x = 49,526,739.74/8,014.68
  6. Step 6: Final answer
    x = 6,179.50

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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.