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Finding the Fourth Proportional to 8,525.89, 12,774.93 and 5,232.03

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Solution

The fourth proportional to 8,525.89, 12,774.93 and 5,232.03 is: 7,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.89 : 12,774.93 = 5,232.03 : x
  2. Step 2: Convert to fraction form
    8,525.89/12,774.93 = 5,232.03/x
  3. Step 3: Cross multiply
    8,525.89x = 12,774.93 × 5,232.03
  4. Step 4: Simplify right side
    8,525.89x = 66,838,817.01
  5. Step 5: Solve for x
    x = 66,838,817.01/8,525.89
  6. Step 6: Final answer
    x = 7,839.51

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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.