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Finding the Fourth Proportional to 10,591.92, 15,889.32 and 4,018.80

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Solution

The fourth proportional to 10,591.92, 15,889.32 and 4,018.80 is: 6,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.92 : 15,889.32 = 4,018.80 : x
  2. Step 2: Convert to fraction form
    10,591.92/15,889.32 = 4,018.80/x
  3. Step 3: Cross multiply
    10,591.92x = 15,889.32 × 4,018.80
  4. Step 4: Simplify right side
    10,591.92x = 63,855,999.22
  5. Step 5: Solve for x
    x = 63,855,999.22/10,591.92
  6. Step 6: Final answer
    x = 6,028.75

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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.