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Finding the Fourth Proportional to 11,681.70, 16,120.10 and 6,645.24

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Solution

The fourth proportional to 11,681.70, 16,120.10 and 6,645.24 is: 9,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.70 : 16,120.10 = 6,645.24 : x
  2. Step 2: Convert to fraction form
    11,681.70/16,120.10 = 6,645.24/x
  3. Step 3: Cross multiply
    11,681.70x = 16,120.10 × 6,645.24
  4. Step 4: Simplify right side
    11,681.70x = 107,121,933.32
  5. Step 5: Solve for x
    x = 107,121,933.32/11,681.70
  6. Step 6: Final answer
    x = 9,170.06

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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.