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Finding the Fourth Proportional to 11,561.68, 17,345.28 and 3,770.50

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Solution

The fourth proportional to 11,561.68, 17,345.28 and 3,770.50 is: 5,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.68 : 17,345.28 = 3,770.50 : x
  2. Step 2: Convert to fraction form
    11,561.68/17,345.28 = 3,770.50/x
  3. Step 3: Cross multiply
    11,561.68x = 17,345.28 × 3,770.50
  4. Step 4: Simplify right side
    11,561.68x = 65,400,378.24
  5. Step 5: Solve for x
    x = 65,400,378.24/11,561.68
  6. Step 6: Final answer
    x = 5,656.65

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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.