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Finding the Fourth Proportional to 8,126.71, 12,190.51 and 2,580.50

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Solution

The fourth proportional to 8,126.71, 12,190.51 and 2,580.50 is: 3,870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.71 : 12,190.51 = 2,580.50 : x
  2. Step 2: Convert to fraction form
    8,126.71/12,190.51 = 2,580.50/x
  3. Step 3: Cross multiply
    8,126.71x = 12,190.51 × 2,580.50
  4. Step 4: Simplify right side
    8,126.71x = 31,457,611.06
  5. Step 5: Solve for x
    x = 31,457,611.06/8,126.71
  6. Step 6: Final answer
    x = 3,870.89

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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.