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Finding the Fourth Proportional to 8,184.39, 11,294.45 and 4,458.39

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Solution

The fourth proportional to 8,184.39, 11,294.45 and 4,458.39 is: 6,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.39 : 11,294.45 = 4,458.39 : x
  2. Step 2: Convert to fraction form
    8,184.39/11,294.45 = 4,458.39/x
  3. Step 3: Cross multiply
    8,184.39x = 11,294.45 × 4,458.39
  4. Step 4: Simplify right side
    8,184.39x = 50,355,017.61
  5. Step 5: Solve for x
    x = 50,355,017.61/8,184.39
  6. Step 6: Final answer
    x = 6,152.57

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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.