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Finding the Fourth Proportional to 8,678.69, 13,015.35 and 3,131.31

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Solution

The fourth proportional to 8,678.69, 13,015.35 and 3,131.31 is: 4,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.69 : 13,015.35 = 3,131.31 : x
  2. Step 2: Convert to fraction form
    8,678.69/13,015.35 = 3,131.31/x
  3. Step 3: Cross multiply
    8,678.69x = 13,015.35 × 3,131.31
  4. Step 4: Simplify right side
    8,678.69x = 40,755,095.61
  5. Step 5: Solve for x
    x = 40,755,095.61/8,678.69
  6. Step 6: Final answer
    x = 4,696.00

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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.