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Finding the Fourth Proportional to 11,675.90, 16,101.93 and 7,690.10

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Solution

The fourth proportional to 11,675.90, 16,101.93 and 7,690.10 is: 10,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.90 : 16,101.93 = 7,690.10 : x
  2. Step 2: Convert to fraction form
    11,675.90/16,101.93 = 7,690.10/x
  3. Step 3: Cross multiply
    11,675.90x = 16,101.93 × 7,690.10
  4. Step 4: Simplify right side
    11,675.90x = 123,825,451.89
  5. Step 5: Solve for x
    x = 123,825,451.89/11,675.90
  6. Step 6: Final answer
    x = 10,605.22

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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.