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Finding the Fourth Proportional to 8,506.29, 12,740.94 and 4,114.50

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Solution

The fourth proportional to 8,506.29, 12,740.94 and 4,114.50 is: 6,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.29 : 12,740.94 = 4,114.50 : x
  2. Step 2: Convert to fraction form
    8,506.29/12,740.94 = 4,114.50/x
  3. Step 3: Cross multiply
    8,506.29x = 12,740.94 × 4,114.50
  4. Step 4: Simplify right side
    8,506.29x = 52,422,597.63
  5. Step 5: Solve for x
    x = 52,422,597.63/8,506.29
  6. Step 6: Final answer
    x = 6,162.80

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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.