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Finding the Fourth Proportional to 8,572.69, 12,857.73 and 2,333.08

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Solution

The fourth proportional to 8,572.69, 12,857.73 and 2,333.08 is: 3,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.69 : 12,857.73 = 2,333.08 : x
  2. Step 2: Convert to fraction form
    8,572.69/12,857.73 = 2,333.08/x
  3. Step 3: Cross multiply
    8,572.69x = 12,857.73 × 2,333.08
  4. Step 4: Simplify right side
    8,572.69x = 29,998,112.71
  5. Step 5: Solve for x
    x = 29,998,112.71/8,572.69
  6. Step 6: Final answer
    x = 3,499.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.