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Finding the Fourth Proportional to 7,564.88, 11,348.76 and 2,369.36

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Solution

The fourth proportional to 7,564.88, 11,348.76 and 2,369.36 is: 3,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.88 : 11,348.76 = 2,369.36 : x
  2. Step 2: Convert to fraction form
    7,564.88/11,348.76 = 2,369.36/x
  3. Step 3: Cross multiply
    7,564.88x = 11,348.76 × 2,369.36
  4. Step 4: Simplify right side
    7,564.88x = 26,889,297.99
  5. Step 5: Solve for x
    x = 26,889,297.99/7,564.88
  6. Step 6: Final answer
    x = 3,554.49

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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.