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Finding the Fourth Proportional to 10,539.66, 14,532.06 and 8,525.23

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Solution

The fourth proportional to 10,539.66, 14,532.06 and 8,525.23 is: 11,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.66 : 14,532.06 = 8,525.23 : x
  2. Step 2: Convert to fraction form
    10,539.66/14,532.06 = 8,525.23/x
  3. Step 3: Cross multiply
    10,539.66x = 14,532.06 × 8,525.23
  4. Step 4: Simplify right side
    10,539.66x = 123,889,153.87
  5. Step 5: Solve for x
    x = 123,889,153.87/10,539.66
  6. Step 6: Final answer
    x = 11,754.57

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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.