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Finding the Fourth Proportional to 11,441.57, 15,790.05 and 6,406.10

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Solution

The fourth proportional to 11,441.57, 15,790.05 and 6,406.10 is: 8,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.57 : 15,790.05 = 6,406.10 : x
  2. Step 2: Convert to fraction form
    11,441.57/15,790.05 = 6,406.10/x
  3. Step 3: Cross multiply
    11,441.57x = 15,790.05 × 6,406.10
  4. Step 4: Simplify right side
    11,441.57x = 101,152,560.35
  5. Step 5: Solve for x
    x = 101,152,560.35/11,441.57
  6. Step 6: Final answer
    x = 8,840.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.