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Finding the Fourth Proportional to 11,708.96, 16,157.98 and 6,403.35

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Solution

The fourth proportional to 11,708.96, 16,157.98 and 6,403.35 is: 8,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.96 : 16,157.98 = 6,403.35 : x
  2. Step 2: Convert to fraction form
    11,708.96/16,157.98 = 6,403.35/x
  3. Step 3: Cross multiply
    11,708.96x = 16,157.98 × 6,403.35
  4. Step 4: Simplify right side
    11,708.96x = 103,465,269.83
  5. Step 5: Solve for x
    x = 103,465,269.83/11,708.96
  6. Step 6: Final answer
    x = 8,836.42

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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.