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Finding the Fourth Proportional to 10,201.96, 15,285.66 and 8,128.36

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Solution

The fourth proportional to 10,201.96, 15,285.66 and 8,128.36 is: 12,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.96 : 15,285.66 = 8,128.36 : x
  2. Step 2: Convert to fraction form
    10,201.96/15,285.66 = 8,128.36/x
  3. Step 3: Cross multiply
    10,201.96x = 15,285.66 × 8,128.36
  4. Step 4: Simplify right side
    10,201.96x = 124,247,347.32
  5. Step 5: Solve for x
    x = 124,247,347.32/10,201.96
  6. Step 6: Final answer
    x = 12,178.77

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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.