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Finding the Fourth Proportional to 11,653.71, 16,081.50 and 6,617.79

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Solution

The fourth proportional to 11,653.71, 16,081.50 and 6,617.79 is: 9,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.71 : 16,081.50 = 6,617.79 : x
  2. Step 2: Convert to fraction form
    11,653.71/16,081.50 = 6,617.79/x
  3. Step 3: Cross multiply
    11,653.71x = 16,081.50 × 6,617.79
  4. Step 4: Simplify right side
    11,653.71x = 106,423,989.89
  5. Step 5: Solve for x
    x = 106,423,989.89/11,653.71
  6. Step 6: Final answer
    x = 9,132.20

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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.