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Finding the Fourth Proportional to 7,205.54, 9,943.05 and 4,062.50

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Solution

The fourth proportional to 7,205.54, 9,943.05 and 4,062.50 is: 5,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.54 : 9,943.05 = 4,062.50 : x
  2. Step 2: Convert to fraction form
    7,205.54/9,943.05 = 4,062.50/x
  3. Step 3: Cross multiply
    7,205.54x = 9,943.05 × 4,062.50
  4. Step 4: Simplify right side
    7,205.54x = 40,393,640.63
  5. Step 5: Solve for x
    x = 40,393,640.63/7,205.54
  6. Step 6: Final answer
    x = 5,605.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.