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Finding the Fourth Proportional to 10,450.97, 15,698.14 and 8,451.91

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Solution

The fourth proportional to 10,450.97, 15,698.14 and 8,451.91 is: 12,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.97 : 15,698.14 = 8,451.91 : x
  2. Step 2: Convert to fraction form
    10,450.97/15,698.14 = 8,451.91/x
  3. Step 3: Cross multiply
    10,450.97x = 15,698.14 × 8,451.91
  4. Step 4: Simplify right side
    10,450.97x = 132,679,264.94
  5. Step 5: Solve for x
    x = 132,679,264.94/10,450.97
  6. Step 6: Final answer
    x = 12,695.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.