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Finding the Fourth Proportional to 8,333.12, 12,473.94 and 4,575.50

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Solution

The fourth proportional to 8,333.12, 12,473.94 and 4,575.50 is: 6,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.12 : 12,473.94 = 4,575.50 : x
  2. Step 2: Convert to fraction form
    8,333.12/12,473.94 = 4,575.50/x
  3. Step 3: Cross multiply
    8,333.12x = 12,473.94 × 4,575.50
  4. Step 4: Simplify right side
    8,333.12x = 57,074,512.47
  5. Step 5: Solve for x
    x = 57,074,512.47/8,333.12
  6. Step 6: Final answer
    x = 6,849.12

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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.