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Finding the Fourth Proportional to 11,654.68, 16,083.90 and 6,350.08

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Solution

The fourth proportional to 11,654.68, 16,083.90 and 6,350.08 is: 8,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.68 : 16,083.90 = 6,350.08 : x
  2. Step 2: Convert to fraction form
    11,654.68/16,083.90 = 6,350.08/x
  3. Step 3: Cross multiply
    11,654.68x = 16,083.90 × 6,350.08
  4. Step 4: Simplify right side
    11,654.68x = 102,134,051.71
  5. Step 5: Solve for x
    x = 102,134,051.71/11,654.68
  6. Step 6: Final answer
    x = 8,763.35

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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.