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Finding the Fourth Proportional to 7,564.41, 11,346.62 and 2,370.33

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Solution

The fourth proportional to 7,564.41, 11,346.62 and 2,370.33 is: 3,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.41 : 11,346.62 = 2,370.33 : x
  2. Step 2: Convert to fraction form
    7,564.41/11,346.62 = 2,370.33/x
  3. Step 3: Cross multiply
    7,564.41x = 11,346.62 × 2,370.33
  4. Step 4: Simplify right side
    7,564.41x = 26,895,221.93
  5. Step 5: Solve for x
    x = 26,895,221.93/7,564.41
  6. Step 6: Final answer
    x = 3,555.50

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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.