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Finding the Fourth Proportional to 8,488.43, 12,716.16 and 4,208.06

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Solution

The fourth proportional to 8,488.43, 12,716.16 and 4,208.06 is: 6,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.43 : 12,716.16 = 4,208.06 : x
  2. Step 2: Convert to fraction form
    8,488.43/12,716.16 = 4,208.06/x
  3. Step 3: Cross multiply
    8,488.43x = 12,716.16 × 4,208.06
  4. Step 4: Simplify right side
    8,488.43x = 53,510,300.67
  5. Step 5: Solve for x
    x = 53,510,300.67/8,488.43
  6. Step 6: Final answer
    x = 6,303.91

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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.