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Finding the Fourth Proportional to 12,052.31, 16,631.26 and 6,746.40

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Solution

The fourth proportional to 12,052.31, 16,631.26 and 6,746.40 is: 9,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.31 : 16,631.26 = 6,746.40 : x
  2. Step 2: Convert to fraction form
    12,052.31/16,631.26 = 6,746.40/x
  3. Step 3: Cross multiply
    12,052.31x = 16,631.26 × 6,746.40
  4. Step 4: Simplify right side
    12,052.31x = 112,201,115.60
  5. Step 5: Solve for x
    x = 112,201,115.60/12,052.31
  6. Step 6: Final answer
    x = 9,309.52

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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.