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Finding the Fourth Proportional to 10,019.56, 15,007.50 and 5,634.76

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Solution

The fourth proportional to 10,019.56, 15,007.50 and 5,634.76 is: 8,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.56 : 15,007.50 = 5,634.76 : x
  2. Step 2: Convert to fraction form
    10,019.56/15,007.50 = 5,634.76/x
  3. Step 3: Cross multiply
    10,019.56x = 15,007.50 × 5,634.76
  4. Step 4: Simplify right side
    10,019.56x = 84,563,660.70
  5. Step 5: Solve for x
    x = 84,563,660.70/10,019.56
  6. Step 6: Final answer
    x = 8,439.86

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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.