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Finding the Fourth Proportional to 7,827.18, 11,745.54 and 3,146.31

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Solution

The fourth proportional to 7,827.18, 11,745.54 and 3,146.31 is: 4,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.18 : 11,745.54 = 3,146.31 : x
  2. Step 2: Convert to fraction form
    7,827.18/11,745.54 = 3,146.31/x
  3. Step 3: Cross multiply
    7,827.18x = 11,745.54 × 3,146.31
  4. Step 4: Simplify right side
    7,827.18x = 36,955,109.96
  5. Step 5: Solve for x
    x = 36,955,109.96/7,827.18
  6. Step 6: Final answer
    x = 4,721.38

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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.