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Finding the Fourth Proportional to 8,504.14, 12,734.28 and 6,830.46

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Solution

The fourth proportional to 8,504.14, 12,734.28 and 6,830.46 is: 10,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.14 : 12,734.28 = 6,830.46 : x
  2. Step 2: Convert to fraction form
    8,504.14/12,734.28 = 6,830.46/x
  3. Step 3: Cross multiply
    8,504.14x = 12,734.28 × 6,830.46
  4. Step 4: Simplify right side
    8,504.14x = 86,980,990.17
  5. Step 5: Solve for x
    x = 86,980,990.17/8,504.14
  6. Step 6: Final answer
    x = 10,228.08

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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.