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Finding the Fourth Proportional to 8,132.46, 11,222.76 and 4,406.46

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Solution

The fourth proportional to 8,132.46, 11,222.76 and 4,406.46 is: 6,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.46 : 11,222.76 = 4,406.46 : x
  2. Step 2: Convert to fraction form
    8,132.46/11,222.76 = 4,406.46/x
  3. Step 3: Cross multiply
    8,132.46x = 11,222.76 × 4,406.46
  4. Step 4: Simplify right side
    8,132.46x = 49,452,643.03
  5. Step 5: Solve for x
    x = 49,452,643.03/8,132.46
  6. Step 6: Final answer
    x = 6,080.90

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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.