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Finding the Fourth Proportional to 10,234.00, 15,351.02 and 3,118.30

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Solution

The fourth proportional to 10,234.00, 15,351.02 and 3,118.30 is: 4,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.00 : 15,351.02 = 3,118.30 : x
  2. Step 2: Convert to fraction form
    10,234.00/15,351.02 = 3,118.30/x
  3. Step 3: Cross multiply
    10,234.00x = 15,351.02 × 3,118.30
  4. Step 4: Simplify right side
    10,234.00x = 47,869,043.39
  5. Step 5: Solve for x
    x = 47,869,043.39/10,234.00
  6. Step 6: Final answer
    x = 4,677.45

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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.