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Finding the Fourth Proportional to 11,642.45, 16,065.76 and 6,337.16

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Solution

The fourth proportional to 11,642.45, 16,065.76 and 6,337.16 is: 8,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.45 : 16,065.76 = 6,337.16 : x
  2. Step 2: Convert to fraction form
    11,642.45/16,065.76 = 6,337.16/x
  3. Step 3: Cross multiply
    11,642.45x = 16,065.76 × 6,337.16
  4. Step 4: Simplify right side
    11,642.45x = 101,811,179.63
  5. Step 5: Solve for x
    x = 101,811,179.63/11,642.45
  6. Step 6: Final answer
    x = 8,744.82

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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.