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Finding the Fourth Proportional to 11,929.39, 16,462.48 and 6,624.23

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Solution

The fourth proportional to 11,929.39, 16,462.48 and 6,624.23 is: 9,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.39 : 16,462.48 = 6,624.23 : x
  2. Step 2: Convert to fraction form
    11,929.39/16,462.48 = 6,624.23/x
  3. Step 3: Cross multiply
    11,929.39x = 16,462.48 × 6,624.23
  4. Step 4: Simplify right side
    11,929.39x = 109,051,253.89
  5. Step 5: Solve for x
    x = 109,051,253.89/11,929.39
  6. Step 6: Final answer
    x = 9,141.39

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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.