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Finding the Fourth Proportional to 8,333.69, 12,498.36 and 3,335.84

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Solution

The fourth proportional to 8,333.69, 12,498.36 and 3,335.84 is: 5,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.69 : 12,498.36 = 3,335.84 : x
  2. Step 2: Convert to fraction form
    8,333.69/12,498.36 = 3,335.84/x
  3. Step 3: Cross multiply
    8,333.69x = 12,498.36 × 3,335.84
  4. Step 4: Simplify right side
    8,333.69x = 41,692,529.22
  5. Step 5: Solve for x
    x = 41,692,529.22/8,333.69
  6. Step 6: Final answer
    x = 5,002.89

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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.