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Finding the Fourth Proportional to 8,176, 12,244.48 and 4,705.96

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Solution

The fourth proportional to 8,176, 12,244.48 and 4,705.96 is: 7,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176 : 12,244.48 = 4,705.96 : x
  2. Step 2: Convert to fraction form
    8,176/12,244.48 = 4,705.96/x
  3. Step 3: Cross multiply
    8,176x = 12,244.48 × 4,705.96
  4. Step 4: Simplify right side
    8,176x = 57,622,033.10
  5. Step 5: Solve for x
    x = 57,622,033.10/8,176
  6. Step 6: Final answer
    x = 7,047.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.