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Finding the Fourth Proportional to 8,315.75, 12,476.58 and 5,192.14

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Solution

The fourth proportional to 8,315.75, 12,476.58 and 5,192.14 is: 7,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.75 : 12,476.58 = 5,192.14 : x
  2. Step 2: Convert to fraction form
    8,315.75/12,476.58 = 5,192.14/x
  3. Step 3: Cross multiply
    8,315.75x = 12,476.58 × 5,192.14
  4. Step 4: Simplify right side
    8,315.75x = 64,780,118.89
  5. Step 5: Solve for x
    x = 64,780,118.89/8,315.75
  6. Step 6: Final answer
    x = 7,790.05

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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.