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Finding the Fourth Proportional to 7,431.98, 10,256.09 and 4,074.93

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Solution

The fourth proportional to 7,431.98, 10,256.09 and 4,074.93 is: 5,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.98 : 10,256.09 = 4,074.93 : x
  2. Step 2: Convert to fraction form
    7,431.98/10,256.09 = 4,074.93/x
  3. Step 3: Cross multiply
    7,431.98x = 10,256.09 × 4,074.93
  4. Step 4: Simplify right side
    7,431.98x = 41,792,828.45
  5. Step 5: Solve for x
    x = 41,792,828.45/7,431.98
  6. Step 6: Final answer
    x = 5,623.38

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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.