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Finding the Fourth Proportional to 8,058.76, 12,087 and 2,510.80

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Solution

The fourth proportional to 8,058.76, 12,087 and 2,510.80 is: 3,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058.76 : 12,087 = 2,510.80 : x
  2. Step 2: Convert to fraction form
    8,058.76/12,087 = 2,510.80/x
  3. Step 3: Cross multiply
    8,058.76x = 12,087 × 2,510.80
  4. Step 4: Simplify right side
    8,058.76x = 30,348,039.60
  5. Step 5: Solve for x
    x = 30,348,039.60/8,058.76
  6. Step 6: Final answer
    x = 3,765.84

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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.