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Finding the Fourth Proportional to 10,525.74, 14,519.21 and 7,689.64

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Solution

The fourth proportional to 10,525.74, 14,519.21 and 7,689.64 is: 10,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.74 : 14,519.21 = 7,689.64 : x
  2. Step 2: Convert to fraction form
    10,525.74/14,519.21 = 7,689.64/x
  3. Step 3: Cross multiply
    10,525.74x = 14,519.21 × 7,689.64
  4. Step 4: Simplify right side
    10,525.74x = 111,647,497.98
  5. Step 5: Solve for x
    x = 111,647,497.98/10,525.74
  6. Step 6: Final answer
    x = 10,607.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.