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Finding the Fourth Proportional to 10,525.65, 14,511.44 and 8,726.34

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Solution

The fourth proportional to 10,525.65, 14,511.44 and 8,726.34 is: 12,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.65 : 14,511.44 = 8,726.34 : x
  2. Step 2: Convert to fraction form
    10,525.65/14,511.44 = 8,726.34/x
  3. Step 3: Cross multiply
    10,525.65x = 14,511.44 × 8,726.34
  4. Step 4: Simplify right side
    10,525.65x = 126,631,759.33
  5. Step 5: Solve for x
    x = 126,631,759.33/10,525.65
  6. Step 6: Final answer
    x = 12,030.78

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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.