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Finding the Fourth Proportional to 7,563.78, 11,347.29 and 2,369.25

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Solution

The fourth proportional to 7,563.78, 11,347.29 and 2,369.25 is: 3,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.78 : 11,347.29 = 2,369.25 : x
  2. Step 2: Convert to fraction form
    7,563.78/11,347.29 = 2,369.25/x
  3. Step 3: Cross multiply
    7,563.78x = 11,347.29 × 2,369.25
  4. Step 4: Simplify right side
    7,563.78x = 26,884,566.83
  5. Step 5: Solve for x
    x = 26,884,566.83/7,563.78
  6. Step 6: Final answer
    x = 3,554.38

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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.