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Finding the Fourth Proportional to 11,653.11, 16,081.14 and 6,617.48

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Solution

The fourth proportional to 11,653.11, 16,081.14 and 6,617.48 is: 9,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.11 : 16,081.14 = 6,617.48 : x
  2. Step 2: Convert to fraction form
    11,653.11/16,081.14 = 6,617.48/x
  3. Step 3: Cross multiply
    11,653.11x = 16,081.14 × 6,617.48
  4. Step 4: Simplify right side
    11,653.11x = 106,416,541.92
  5. Step 5: Solve for x
    x = 106,416,541.92/11,653.11
  6. Step 6: Final answer
    x = 9,132.03

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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.