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Finding the Fourth Proportional to 12,308.29, 18,462.71 and 4,411.33

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Solution

The fourth proportional to 12,308.29, 18,462.71 and 4,411.33 is: 6,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.29 : 18,462.71 = 4,411.33 : x
  2. Step 2: Convert to fraction form
    12,308.29/18,462.71 = 4,411.33/x
  3. Step 3: Cross multiply
    12,308.29x = 18,462.71 × 4,411.33
  4. Step 4: Simplify right side
    12,308.29x = 81,445,106.50
  5. Step 5: Solve for x
    x = 81,445,106.50/12,308.29
  6. Step 6: Final answer
    x = 6,617.09

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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.