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Finding the Fourth Proportional to 7,707.53, 11,567.78 and 3,328.33

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Solution

The fourth proportional to 7,707.53, 11,567.78 and 3,328.33 is: 4,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.53 : 11,567.78 = 3,328.33 : x
  2. Step 2: Convert to fraction form
    7,707.53/11,567.78 = 3,328.33/x
  3. Step 3: Cross multiply
    7,707.53x = 11,567.78 × 3,328.33
  4. Step 4: Simplify right side
    7,707.53x = 38,501,372.57
  5. Step 5: Solve for x
    x = 38,501,372.57/7,707.53
  6. Step 6: Final answer
    x = 4,995.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.