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Finding the Fourth Proportional to 8,678.88, 13,015.63 and 3,131.50

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Solution

The fourth proportional to 8,678.88, 13,015.63 and 3,131.50 is: 4,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.88 : 13,015.63 = 3,131.50 : x
  2. Step 2: Convert to fraction form
    8,678.88/13,015.63 = 3,131.50/x
  3. Step 3: Cross multiply
    8,678.88x = 13,015.63 × 3,131.50
  4. Step 4: Simplify right side
    8,678.88x = 40,758,445.35
  5. Step 5: Solve for x
    x = 40,758,445.35/8,678.88
  6. Step 6: Final answer
    x = 4,696.28

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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.