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Finding the Fourth Proportional to 11,688.56, 16,114.90 and 8,654.09

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Solution

The fourth proportional to 11,688.56, 16,114.90 and 8,654.09 is: 11,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.56 : 16,114.90 = 8,654.09 : x
  2. Step 2: Convert to fraction form
    11,688.56/16,114.90 = 8,654.09/x
  3. Step 3: Cross multiply
    11,688.56x = 16,114.90 × 8,654.09
  4. Step 4: Simplify right side
    11,688.56x = 139,459,751.67
  5. Step 5: Solve for x
    x = 139,459,751.67/11,688.56
  6. Step 6: Final answer
    x = 11,931.31

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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.