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Finding the Fourth Proportional to 8,428.16, 12,642.53 and 3,162.63

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Solution

The fourth proportional to 8,428.16, 12,642.53 and 3,162.63 is: 4,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.16 : 12,642.53 = 3,162.63 : x
  2. Step 2: Convert to fraction form
    8,428.16/12,642.53 = 3,162.63/x
  3. Step 3: Cross multiply
    8,428.16x = 12,642.53 × 3,162.63
  4. Step 4: Simplify right side
    8,428.16x = 39,983,644.65
  5. Step 5: Solve for x
    x = 39,983,644.65/8,428.16
  6. Step 6: Final answer
    x = 4,744.05

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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.