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Finding the Fourth Proportional to 11,205.39, 15,465.86 and 6,426.11

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Solution

The fourth proportional to 11,205.39, 15,465.86 and 6,426.11 is: 8,869.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.39 : 15,465.86 = 6,426.11 : x
  2. Step 2: Convert to fraction form
    11,205.39/15,465.86 = 6,426.11/x
  3. Step 3: Cross multiply
    11,205.39x = 15,465.86 × 6,426.11
  4. Step 4: Simplify right side
    11,205.39x = 99,385,317.60
  5. Step 5: Solve for x
    x = 99,385,317.60/11,205.39
  6. Step 6: Final answer
    x = 8,869.42

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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.