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Finding the Fourth Proportional to 11,818.96, 16,316.08 and 9,160.40

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Solution

The fourth proportional to 11,818.96, 16,316.08 and 9,160.40 is: 12,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.96 : 16,316.08 = 9,160.40 : x
  2. Step 2: Convert to fraction form
    11,818.96/16,316.08 = 9,160.40/x
  3. Step 3: Cross multiply
    11,818.96x = 16,316.08 × 9,160.40
  4. Step 4: Simplify right side
    11,818.96x = 149,461,819.23
  5. Step 5: Solve for x
    x = 149,461,819.23/11,818.96
  6. Step 6: Final answer
    x = 12,645.94

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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.