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Finding the Fourth Proportional to 8,645.65, 11,930.84 and 4,868.80

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Solution

The fourth proportional to 8,645.65, 11,930.84 and 4,868.80 is: 6,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.65 : 11,930.84 = 4,868.80 : x
  2. Step 2: Convert to fraction form
    8,645.65/11,930.84 = 4,868.80/x
  3. Step 3: Cross multiply
    8,645.65x = 11,930.84 × 4,868.80
  4. Step 4: Simplify right side
    8,645.65x = 58,088,873.79
  5. Step 5: Solve for x
    x = 58,088,873.79/8,645.65
  6. Step 6: Final answer
    x = 6,718.86

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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.