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Finding the Fourth Proportional to 8,452.25, 11,663.89 and 4,675.57

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Solution

The fourth proportional to 8,452.25, 11,663.89 and 4,675.57 is: 6,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.25 : 11,663.89 = 4,675.57 : x
  2. Step 2: Convert to fraction form
    8,452.25/11,663.89 = 4,675.57/x
  3. Step 3: Cross multiply
    8,452.25x = 11,663.89 × 4,675.57
  4. Step 4: Simplify right side
    8,452.25x = 54,535,334.17
  5. Step 5: Solve for x
    x = 54,535,334.17/8,452.25
  6. Step 6: Final answer
    x = 6,452.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.