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Finding the Fourth Proportional to 8,047.55, 11,106.21 and 4,462.70

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Solution

The fourth proportional to 8,047.55, 11,106.21 and 4,462.70 is: 6,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.55 : 11,106.21 = 4,462.70 : x
  2. Step 2: Convert to fraction form
    8,047.55/11,106.21 = 4,462.70/x
  3. Step 3: Cross multiply
    8,047.55x = 11,106.21 × 4,462.70
  4. Step 4: Simplify right side
    8,047.55x = 49,563,644.57
  5. Step 5: Solve for x
    x = 49,563,644.57/8,047.55
  6. Step 6: Final answer
    x = 6,158.85

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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.