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Finding the Fourth Proportional to 11,770.16, 17,655.24 and 3,004.76

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Solution

The fourth proportional to 11,770.16, 17,655.24 and 3,004.76 is: 4,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.16 : 17,655.24 = 3,004.76 : x
  2. Step 2: Convert to fraction form
    11,770.16/17,655.24 = 3,004.76/x
  3. Step 3: Cross multiply
    11,770.16x = 17,655.24 × 3,004.76
  4. Step 4: Simplify right side
    11,770.16x = 53,049,758.94
  5. Step 5: Solve for x
    x = 53,049,758.94/11,770.16
  6. Step 6: Final answer
    x = 4,507.14

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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.