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Finding the Fourth Proportional to 11,653.64, 16,082.43 and 6,617.70

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Solution

The fourth proportional to 11,653.64, 16,082.43 and 6,617.70 is: 9,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.64 : 16,082.43 = 6,617.70 : x
  2. Step 2: Convert to fraction form
    11,653.64/16,082.43 = 6,617.70/x
  3. Step 3: Cross multiply
    11,653.64x = 16,082.43 × 6,617.70
  4. Step 4: Simplify right side
    11,653.64x = 106,428,697.01
  5. Step 5: Solve for x
    x = 106,428,697.01/11,653.64
  6. Step 6: Final answer
    x = 9,132.66

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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.