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Finding the Fourth Proportional to 7,471.72, 11,206.86 and 3,088

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Solution

The fourth proportional to 7,471.72, 11,206.86 and 3,088 is: 4,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.72 : 11,206.86 = 3,088 : x
  2. Step 2: Convert to fraction form
    7,471.72/11,206.86 = 3,088/x
  3. Step 3: Cross multiply
    7,471.72x = 11,206.86 × 3,088
  4. Step 4: Simplify right side
    7,471.72x = 34,606,783.68
  5. Step 5: Solve for x
    x = 34,606,783.68/7,471.72
  6. Step 6: Final answer
    x = 4,631.70

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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.