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Finding the Fourth Proportional to 11,675.13, 16,117.75 and 7,201.29

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Solution

The fourth proportional to 11,675.13, 16,117.75 and 7,201.29 is: 9,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.13 : 16,117.75 = 7,201.29 : x
  2. Step 2: Convert to fraction form
    11,675.13/16,117.75 = 7,201.29/x
  3. Step 3: Cross multiply
    11,675.13x = 16,117.75 × 7,201.29
  4. Step 4: Simplify right side
    11,675.13x = 116,068,591.90
  5. Step 5: Solve for x
    x = 116,068,591.90/11,675.13
  6. Step 6: Final answer
    x = 9,941.52

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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.