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Finding the Fourth Proportional to 11,705.50, 16,154.13 and 6,400.54

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Solution

The fourth proportional to 11,705.50, 16,154.13 and 6,400.54 is: 8,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.50 : 16,154.13 = 6,400.54 : x
  2. Step 2: Convert to fraction form
    11,705.50/16,154.13 = 6,400.54/x
  3. Step 3: Cross multiply
    11,705.50x = 16,154.13 × 6,400.54
  4. Step 4: Simplify right side
    11,705.50x = 103,395,155.23
  5. Step 5: Solve for x
    x = 103,395,155.23/11,705.50
  6. Step 6: Final answer
    x = 8,833.04

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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.