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Finding the Fourth Proportional to 11,913.53, 16,430.76 and 8,935.97

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Solution

The fourth proportional to 11,913.53, 16,430.76 and 8,935.97 is: 12,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.53 : 16,430.76 = 8,935.97 : x
  2. Step 2: Convert to fraction form
    11,913.53/16,430.76 = 8,935.97/x
  3. Step 3: Cross multiply
    11,913.53x = 16,430.76 × 8,935.97
  4. Step 4: Simplify right side
    11,913.53x = 146,824,696.28
  5. Step 5: Solve for x
    x = 146,824,696.28/11,913.53
  6. Step 6: Final answer
    x = 12,324.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.