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Finding the Fourth Proportional to 7,703.72, 11,555.56 and 1,860.33

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Solution

The fourth proportional to 7,703.72, 11,555.56 and 1,860.33 is: 2,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.72 : 11,555.56 = 1,860.33 : x
  2. Step 2: Convert to fraction form
    7,703.72/11,555.56 = 1,860.33/x
  3. Step 3: Cross multiply
    7,703.72x = 11,555.56 × 1,860.33
  4. Step 4: Simplify right side
    7,703.72x = 21,497,200.59
  5. Step 5: Solve for x
    x = 21,497,200.59/7,703.72
  6. Step 6: Final answer
    x = 2,790.49

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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.