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Finding the Fourth Proportional to 10,519.56, 15,784.56 and 5,839.56

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Solution

The fourth proportional to 10,519.56, 15,784.56 and 5,839.56 is: 8,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.56 : 15,784.56 = 5,839.56 : x
  2. Step 2: Convert to fraction form
    10,519.56/15,784.56 = 5,839.56/x
  3. Step 3: Cross multiply
    10,519.56x = 15,784.56 × 5,839.56
  4. Step 4: Simplify right side
    10,519.56x = 92,174,885.19
  5. Step 5: Solve for x
    x = 92,174,885.19/10,519.56
  6. Step 6: Final answer
    x = 8,762.24

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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.