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Finding the Fourth Proportional to 11,876.42, 16,389.42 and 7,160.96

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Solution

The fourth proportional to 11,876.42, 16,389.42 and 7,160.96 is: 9,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.42 : 16,389.42 = 7,160.96 : x
  2. Step 2: Convert to fraction form
    11,876.42/16,389.42 = 7,160.96/x
  3. Step 3: Cross multiply
    11,876.42x = 16,389.42 × 7,160.96
  4. Step 4: Simplify right side
    11,876.42x = 117,363,981.04
  5. Step 5: Solve for x
    x = 117,363,981.04/11,876.42
  6. Step 6: Final answer
    x = 9,882.10

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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.