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Finding the Fourth Proportional to 11,476.23, 15,823.40 and 8,924.73

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Solution

The fourth proportional to 11,476.23, 15,823.40 and 8,924.73 is: 12,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.23 : 15,823.40 = 8,924.73 : x
  2. Step 2: Convert to fraction form
    11,476.23/15,823.40 = 8,924.73/x
  3. Step 3: Cross multiply
    11,476.23x = 15,823.40 × 8,924.73
  4. Step 4: Simplify right side
    11,476.23x = 141,219,528.06
  5. Step 5: Solve for x
    x = 141,219,528.06/11,476.23
  6. Step 6: Final answer
    x = 12,305.39

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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.