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Finding the Fourth Proportional to 11,771.98, 17,655.84 and 4,751.70

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Solution

The fourth proportional to 11,771.98, 17,655.84 and 4,751.70 is: 7,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.98 : 17,655.84 = 4,751.70 : x
  2. Step 2: Convert to fraction form
    11,771.98/17,655.84 = 4,751.70/x
  3. Step 3: Cross multiply
    11,771.98x = 17,655.84 × 4,751.70
  4. Step 4: Simplify right side
    11,771.98x = 83,895,254.93
  5. Step 5: Solve for x
    x = 83,895,254.93/11,771.98
  6. Step 6: Final answer
    x = 7,126.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.