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Finding the Fourth Proportional to 7,169, 10,751.64 and 3,218

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Solution

The fourth proportional to 7,169, 10,751.64 and 3,218 is: 4,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169 : 10,751.64 = 3,218 : x
  2. Step 2: Convert to fraction form
    7,169/10,751.64 = 3,218/x
  3. Step 3: Cross multiply
    7,169x = 10,751.64 × 3,218
  4. Step 4: Simplify right side
    7,169x = 34,598,777.52
  5. Step 5: Solve for x
    x = 34,598,777.52/7,169
  6. Step 6: Final answer
    x = 4,826.17

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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.