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Finding the Fourth Proportional to 7,903.46, 11,854.92 and 3,745.46

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Solution

The fourth proportional to 7,903.46, 11,854.92 and 3,745.46 is: 5,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.46 : 11,854.92 = 3,745.46 : x
  2. Step 2: Convert to fraction form
    7,903.46/11,854.92 = 3,745.46/x
  3. Step 3: Cross multiply
    7,903.46x = 11,854.92 × 3,745.46
  4. Step 4: Simplify right side
    7,903.46x = 44,402,128.66
  5. Step 5: Solve for x
    x = 44,402,128.66/7,903.46
  6. Step 6: Final answer
    x = 5,618.06

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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.