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Finding the Fourth Proportional to 7,551, 11,314.96 and 3,166.08

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Solution

The fourth proportional to 7,551, 11,314.96 and 3,166.08 is: 4,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551 : 11,314.96 = 3,166.08 : x
  2. Step 2: Convert to fraction form
    7,551/11,314.96 = 3,166.08/x
  3. Step 3: Cross multiply
    7,551x = 11,314.96 × 3,166.08
  4. Step 4: Simplify right side
    7,551x = 35,824,068.56
  5. Step 5: Solve for x
    x = 35,824,068.56/7,551
  6. Step 6: Final answer
    x = 4,744.28

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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.