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Finding the Fourth Proportional to 7,612.70, 11,429.85 and 4,696.70

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Solution

The fourth proportional to 7,612.70, 11,429.85 and 4,696.70 is: 7,051.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.70 : 11,429.85 = 4,696.70 : x
  2. Step 2: Convert to fraction form
    7,612.70/11,429.85 = 4,696.70/x
  3. Step 3: Cross multiply
    7,612.70x = 11,429.85 × 4,696.70
  4. Step 4: Simplify right side
    7,612.70x = 53,682,576.50
  5. Step 5: Solve for x
    x = 53,682,576.50/7,612.70
  6. Step 6: Final answer
    x = 7,051.71

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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.