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Finding the Fourth Proportional to 7,849.31, 11,762.44 and 3,948.35

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Solution

The fourth proportional to 7,849.31, 11,762.44 and 3,948.35 is: 5,916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.31 : 11,762.44 = 3,948.35 : x
  2. Step 2: Convert to fraction form
    7,849.31/11,762.44 = 3,948.35/x
  3. Step 3: Cross multiply
    7,849.31x = 11,762.44 × 3,948.35
  4. Step 4: Simplify right side
    7,849.31x = 46,442,200.57
  5. Step 5: Solve for x
    x = 46,442,200.57/7,849.31
  6. Step 6: Final answer
    x = 5,916.73

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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.