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Finding the Fourth Proportional to 11,653.72, 16,083.20 and 7,180.08

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Solution

The fourth proportional to 11,653.72, 16,083.20 and 7,180.08 is: 9,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.72 : 16,083.20 = 7,180.08 : x
  2. Step 2: Convert to fraction form
    11,653.72/16,083.20 = 7,180.08/x
  3. Step 3: Cross multiply
    11,653.72x = 16,083.20 × 7,180.08
  4. Step 4: Simplify right side
    11,653.72x = 115,478,662.66
  5. Step 5: Solve for x
    x = 115,478,662.66/11,653.72
  6. Step 6: Final answer
    x = 9,909.17

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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.