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Finding the Fourth Proportional to 7,513.94, 10,369.04 and 4,156.88

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Solution

The fourth proportional to 7,513.94, 10,369.04 and 4,156.88 is: 5,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.94 : 10,369.04 = 4,156.88 : x
  2. Step 2: Convert to fraction form
    7,513.94/10,369.04 = 4,156.88/x
  3. Step 3: Cross multiply
    7,513.94x = 10,369.04 × 4,156.88
  4. Step 4: Simplify right side
    7,513.94x = 43,102,855.00
  5. Step 5: Solve for x
    x = 43,102,855.00/7,513.94
  6. Step 6: Final answer
    x = 5,736.39

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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.