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Finding the Fourth Proportional to 8,329.96, 12,514.38 and 4,869.64

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Solution

The fourth proportional to 8,329.96, 12,514.38 and 4,869.64 is: 7,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.96 : 12,514.38 = 4,869.64 : x
  2. Step 2: Convert to fraction form
    8,329.96/12,514.38 = 4,869.64/x
  3. Step 3: Cross multiply
    8,329.96x = 12,514.38 × 4,869.64
  4. Step 4: Simplify right side
    8,329.96x = 60,940,525.42
  5. Step 5: Solve for x
    x = 60,940,525.42/8,329.96
  6. Step 6: Final answer
    x = 7,315.82

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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.