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Finding the Fourth Proportional to 7,164.78, 10,741.50 and 3,267.06

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Solution

The fourth proportional to 7,164.78, 10,741.50 and 3,267.06 is: 4,898.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.78 : 10,741.50 = 3,267.06 : x
  2. Step 2: Convert to fraction form
    7,164.78/10,741.50 = 3,267.06/x
  3. Step 3: Cross multiply
    7,164.78x = 10,741.50 × 3,267.06
  4. Step 4: Simplify right side
    7,164.78x = 35,093,124.99
  5. Step 5: Solve for x
    x = 35,093,124.99/7,164.78
  6. Step 6: Final answer
    x = 4,898.00

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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.