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Finding the Fourth Proportional to 11,875.80, 17,814.12 and 4,084.56

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Solution

The fourth proportional to 11,875.80, 17,814.12 and 4,084.56 is: 6,126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.80 : 17,814.12 = 4,084.56 : x
  2. Step 2: Convert to fraction form
    11,875.80/17,814.12 = 4,084.56/x
  3. Step 3: Cross multiply
    11,875.80x = 17,814.12 × 4,084.56
  4. Step 4: Simplify right side
    11,875.80x = 72,762,841.99
  5. Step 5: Solve for x
    x = 72,762,841.99/11,875.80
  6. Step 6: Final answer
    x = 6,126.98

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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.