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Finding the Fourth Proportional to 11,622.65, 16,039.19 and 6,587.82

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Solution

The fourth proportional to 11,622.65, 16,039.19 and 6,587.82 is: 9,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.65 : 16,039.19 = 6,587.82 : x
  2. Step 2: Convert to fraction form
    11,622.65/16,039.19 = 6,587.82/x
  3. Step 3: Cross multiply
    11,622.65x = 16,039.19 × 6,587.82
  4. Step 4: Simplify right side
    11,622.65x = 105,663,288.43
  5. Step 5: Solve for x
    x = 105,663,288.43/11,622.65
  6. Step 6: Final answer
    x = 9,091.15

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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.