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Finding the Fourth Proportional to 12,116.52, 16,709.22 and 7,641

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Solution

The fourth proportional to 12,116.52, 16,709.22 and 7,641 is: 10,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.52 : 16,709.22 = 7,641 : x
  2. Step 2: Convert to fraction form
    12,116.52/16,709.22 = 7,641/x
  3. Step 3: Cross multiply
    12,116.52x = 16,709.22 × 7,641
  4. Step 4: Simplify right side
    12,116.52x = 127,675,150.02
  5. Step 5: Solve for x
    x = 127,675,150.02/12,116.52
  6. Step 6: Final answer
    x = 10,537.28

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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.