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Finding the Fourth Proportional to 11,341.99, 15,653.67 and 8,165.80

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Solution

The fourth proportional to 11,341.99, 15,653.67 and 8,165.80 is: 11,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.99 : 15,653.67 = 8,165.80 : x
  2. Step 2: Convert to fraction form
    11,341.99/15,653.67 = 8,165.80/x
  3. Step 3: Cross multiply
    11,341.99x = 15,653.67 × 8,165.80
  4. Step 4: Simplify right side
    11,341.99x = 127,824,738.49
  5. Step 5: Solve for x
    x = 127,824,738.49/11,341.99
  6. Step 6: Final answer
    x = 11,270.05

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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.