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Finding the Fourth Proportional to 10,003.70, 14,989.12 and 3,426.30

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Solution

The fourth proportional to 10,003.70, 14,989.12 and 3,426.30 is: 5,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.70 : 14,989.12 = 3,426.30 : x
  2. Step 2: Convert to fraction form
    10,003.70/14,989.12 = 3,426.30/x
  3. Step 3: Cross multiply
    10,003.70x = 14,989.12 × 3,426.30
  4. Step 4: Simplify right side
    10,003.70x = 51,357,213.29
  5. Step 5: Solve for x
    x = 51,357,213.29/10,003.70
  6. Step 6: Final answer
    x = 5,133.82

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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.