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Finding the Fourth Proportional to 11,646.84, 16,072.68 and 6,341.66

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Solution

The fourth proportional to 11,646.84, 16,072.68 and 6,341.66 is: 8,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.84 : 16,072.68 = 6,341.66 : x
  2. Step 2: Convert to fraction form
    11,646.84/16,072.68 = 6,341.66/x
  3. Step 3: Cross multiply
    11,646.84x = 16,072.68 × 6,341.66
  4. Step 4: Simplify right side
    11,646.84x = 101,927,471.85
  5. Step 5: Solve for x
    x = 101,927,471.85/11,646.84
  6. Step 6: Final answer
    x = 8,751.51

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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.