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Finding the Fourth Proportional to 8,675.76, 13,014.52 and 2,435.80

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Solution

The fourth proportional to 8,675.76, 13,014.52 and 2,435.80 is: 3,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.76 : 13,014.52 = 2,435.80 : x
  2. Step 2: Convert to fraction form
    8,675.76/13,014.52 = 2,435.80/x
  3. Step 3: Cross multiply
    8,675.76x = 13,014.52 × 2,435.80
  4. Step 4: Simplify right side
    8,675.76x = 31,700,767.82
  5. Step 5: Solve for x
    x = 31,700,767.82/8,675.76
  6. Step 6: Final answer
    x = 3,653.95

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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.