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Finding the Fourth Proportional to 11,770.17, 17,655.03 and 4,750.04

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Solution

The fourth proportional to 11,770.17, 17,655.03 and 4,750.04 is: 7,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.17 : 17,655.03 = 4,750.04 : x
  2. Step 2: Convert to fraction form
    11,770.17/17,655.03 = 4,750.04/x
  3. Step 3: Cross multiply
    11,770.17x = 17,655.03 × 4,750.04
  4. Step 4: Simplify right side
    11,770.17x = 83,862,010.43
  5. Step 5: Solve for x
    x = 83,862,010.43/11,770.17
  6. Step 6: Final answer
    x = 7,124.96

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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.