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Finding the Fourth Proportional to 10,018.76, 13,824.33 and 5,770.00

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Solution

The fourth proportional to 10,018.76, 13,824.33 and 5,770.00 is: 7,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.76 : 13,824.33 = 5,770.00 : x
  2. Step 2: Convert to fraction form
    10,018.76/13,824.33 = 5,770.00/x
  3. Step 3: Cross multiply
    10,018.76x = 13,824.33 × 5,770.00
  4. Step 4: Simplify right side
    10,018.76x = 79,766,286.13
  5. Step 5: Solve for x
    x = 79,766,286.13/10,018.76
  6. Step 6: Final answer
    x = 7,961.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.