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Finding the Fourth Proportional to 7,662.30, 11,483.82 and 3,274.59

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Solution

The fourth proportional to 7,662.30, 11,483.82 and 3,274.59 is: 4,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.30 : 11,483.82 = 3,274.59 : x
  2. Step 2: Convert to fraction form
    7,662.30/11,483.82 = 3,274.59/x
  3. Step 3: Cross multiply
    7,662.30x = 11,483.82 × 3,274.59
  4. Step 4: Simplify right side
    7,662.30x = 37,604,802.13
  5. Step 5: Solve for x
    x = 37,604,802.13/7,662.30
  6. Step 6: Final answer
    x = 4,907.77

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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.