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Finding the Fourth Proportional to 11,642.13, 16,065.64 and 6,336.93

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Solution

The fourth proportional to 11,642.13, 16,065.64 and 6,336.93 is: 8,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.13 : 16,065.64 = 6,336.93 : x
  2. Step 2: Convert to fraction form
    11,642.13/16,065.64 = 6,336.93/x
  3. Step 3: Cross multiply
    11,642.13x = 16,065.64 × 6,336.93
  4. Step 4: Simplify right side
    11,642.13x = 101,806,904.25
  5. Step 5: Solve for x
    x = 101,806,904.25/11,642.13
  6. Step 6: Final answer
    x = 8,744.70

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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.