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Finding the Fourth Proportional to 12,107.56, 16,702.50 and 7,629.16

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Solution

The fourth proportional to 12,107.56, 16,702.50 and 7,629.16 is: 10,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.56 : 16,702.50 = 7,629.16 : x
  2. Step 2: Convert to fraction form
    12,107.56/16,702.50 = 7,629.16/x
  3. Step 3: Cross multiply
    12,107.56x = 16,702.50 × 7,629.16
  4. Step 4: Simplify right side
    12,107.56x = 127,426,044.90
  5. Step 5: Solve for x
    x = 127,426,044.90/12,107.56
  6. Step 6: Final answer
    x = 10,524.50

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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.