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Finding the Fourth Proportional to 11,476.23, 15,815.73 and 8,954.34

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Solution

The fourth proportional to 11,476.23, 15,815.73 and 8,954.34 is: 12,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.23 : 15,815.73 = 8,954.34 : x
  2. Step 2: Convert to fraction form
    11,476.23/15,815.73 = 8,954.34/x
  3. Step 3: Cross multiply
    11,476.23x = 15,815.73 × 8,954.34
  4. Step 4: Simplify right side
    11,476.23x = 141,619,423.77
  5. Step 5: Solve for x
    x = 141,619,423.77/11,476.23
  6. Step 6: Final answer
    x = 12,340.24

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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.