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Finding the Fourth Proportional to 8,476.34, 12,716.57 and 2,633

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Solution

The fourth proportional to 8,476.34, 12,716.57 and 2,633 is: 3,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.34 : 12,716.57 = 2,633 : x
  2. Step 2: Convert to fraction form
    8,476.34/12,716.57 = 2,633/x
  3. Step 3: Cross multiply
    8,476.34x = 12,716.57 × 2,633
  4. Step 4: Simplify right side
    8,476.34x = 33,482,728.81
  5. Step 5: Solve for x
    x = 33,482,728.81/8,476.34
  6. Step 6: Final answer
    x = 3,950.14

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Why These Related Problems?

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