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Finding the Fourth Proportional to 7,157.71, 10,733.73 and 2,773.99

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Solution

The fourth proportional to 7,157.71, 10,733.73 and 2,773.99 is: 4,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.71 : 10,733.73 = 2,773.99 : x
  2. Step 2: Convert to fraction form
    7,157.71/10,733.73 = 2,773.99/x
  3. Step 3: Cross multiply
    7,157.71x = 10,733.73 × 2,773.99
  4. Step 4: Simplify right side
    7,157.71x = 29,775,259.68
  5. Step 5: Solve for x
    x = 29,775,259.68/7,157.71
  6. Step 6: Final answer
    x = 4,159.89

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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.