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Finding the Fourth Proportional to 11,645.67, 16,071.21 and 6,340.51

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Solution

The fourth proportional to 11,645.67, 16,071.21 and 6,340.51 is: 8,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.67 : 16,071.21 = 6,340.51 : x
  2. Step 2: Convert to fraction form
    11,645.67/16,071.21 = 6,340.51/x
  3. Step 3: Cross multiply
    11,645.67x = 16,071.21 × 6,340.51
  4. Step 4: Simplify right side
    11,645.67x = 101,899,687.81
  5. Step 5: Solve for x
    x = 101,899,687.81/11,645.67
  6. Step 6: Final answer
    x = 8,750.00

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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.