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Finding the Fourth Proportional to 7,622.54, 11,490.93 and 7,114.52

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Solution

The fourth proportional to 7,622.54, 11,490.93 and 7,114.52 is: 10,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622.54 : 11,490.93 = 7,114.52 : x
  2. Step 2: Convert to fraction form
    7,622.54/11,490.93 = 7,114.52/x
  3. Step 3: Cross multiply
    7,622.54x = 11,490.93 × 7,114.52
  4. Step 4: Simplify right side
    7,622.54x = 81,752,393.85
  5. Step 5: Solve for x
    x = 81,752,393.85/7,622.54
  6. Step 6: Final answer
    x = 10,725.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.