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Finding the Fourth Proportional to 7,664.31, 10,578.76 and 4,308.21

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Solution

The fourth proportional to 7,664.31, 10,578.76 and 4,308.21 is: 5,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.31 : 10,578.76 = 4,308.21 : x
  2. Step 2: Convert to fraction form
    7,664.31/10,578.76 = 4,308.21/x
  3. Step 3: Cross multiply
    7,664.31x = 10,578.76 × 4,308.21
  4. Step 4: Simplify right side
    7,664.31x = 45,575,508.85
  5. Step 5: Solve for x
    x = 45,575,508.85/7,664.31
  6. Step 6: Final answer
    x = 5,946.46

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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.