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Finding the Fourth Proportional to 8,815.41, 13,205.88 and 4,649.16

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Solution

The fourth proportional to 8,815.41, 13,205.88 and 4,649.16 is: 6,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,815.41 : 13,205.88 = 4,649.16 : x
  2. Step 2: Convert to fraction form
    8,815.41/13,205.88 = 4,649.16/x
  3. Step 3: Cross multiply
    8,815.41x = 13,205.88 × 4,649.16
  4. Step 4: Simplify right side
    8,815.41x = 61,396,249.06
  5. Step 5: Solve for x
    x = 61,396,249.06/8,815.41
  6. Step 6: Final answer
    x = 6,964.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.