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Finding the Fourth Proportional to 8,510.34, 12,752.52 and 3,577.30

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Solution

The fourth proportional to 8,510.34, 12,752.52 and 3,577.30 is: 5,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.34 : 12,752.52 = 3,577.30 : x
  2. Step 2: Convert to fraction form
    8,510.34/12,752.52 = 3,577.30/x
  3. Step 3: Cross multiply
    8,510.34x = 12,752.52 × 3,577.30
  4. Step 4: Simplify right side
    8,510.34x = 45,619,589.80
  5. Step 5: Solve for x
    x = 45,619,589.80/8,510.34
  6. Step 6: Final answer
    x = 5,360.49

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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.