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Finding the Fourth Proportional to 12,358.36, 18,524.58 and 5,779

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Solution

The fourth proportional to 12,358.36, 18,524.58 and 5,779 is: 8,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.36 : 18,524.58 = 5,779 : x
  2. Step 2: Convert to fraction form
    12,358.36/18,524.58 = 5,779/x
  3. Step 3: Cross multiply
    12,358.36x = 18,524.58 × 5,779
  4. Step 4: Simplify right side
    12,358.36x = 107,053,547.82
  5. Step 5: Solve for x
    x = 107,053,547.82/12,358.36
  6. Step 6: Final answer
    x = 8,662.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.