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Finding the Fourth Proportional to 7,616, 10,511.52 and 4,304

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Solution

The fourth proportional to 7,616, 10,511.52 and 4,304 is: 5,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616 : 10,511.52 = 4,304 : x
  2. Step 2: Convert to fraction form
    7,616/10,511.52 = 4,304/x
  3. Step 3: Cross multiply
    7,616x = 10,511.52 × 4,304
  4. Step 4: Simplify right side
    7,616x = 45,241,582.08
  5. Step 5: Solve for x
    x = 45,241,582.08/7,616
  6. Step 6: Final answer
    x = 5,940.33

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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.