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Finding the Fourth Proportional to 10,027.74, 15,056.39 and 5,594.06

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Solution

The fourth proportional to 10,027.74, 15,056.39 and 5,594.06 is: 8,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.74 : 15,056.39 = 5,594.06 : x
  2. Step 2: Convert to fraction form
    10,027.74/15,056.39 = 5,594.06/x
  3. Step 3: Cross multiply
    10,027.74x = 15,056.39 × 5,594.06
  4. Step 4: Simplify right side
    10,027.74x = 84,226,379.69
  5. Step 5: Solve for x
    x = 84,226,379.69/10,027.74
  6. Step 6: Final answer
    x = 8,399.34

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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.