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Finding the Fourth Proportional to 10,315.00, 14,234.27 and 5,839.00

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Solution

The fourth proportional to 10,315.00, 14,234.27 and 5,839.00 is: 8,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.00 : 14,234.27 = 5,839.00 : x
  2. Step 2: Convert to fraction form
    10,315.00/14,234.27 = 5,839.00/x
  3. Step 3: Cross multiply
    10,315.00x = 14,234.27 × 5,839.00
  4. Step 4: Simplify right side
    10,315.00x = 83,113,917.82
  5. Step 5: Solve for x
    x = 83,113,917.82/10,315.00
  6. Step 6: Final answer
    x = 8,057.58

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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.