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Finding the Fourth Proportional to 10,528.88, 15,770.84 and 6,820.09

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Solution

The fourth proportional to 10,528.88, 15,770.84 and 6,820.09 is: 10,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.88 : 15,770.84 = 6,820.09 : x
  2. Step 2: Convert to fraction form
    10,528.88/15,770.84 = 6,820.09/x
  3. Step 3: Cross multiply
    10,528.88x = 15,770.84 × 6,820.09
  4. Step 4: Simplify right side
    10,528.88x = 107,558,474.65
  5. Step 5: Solve for x
    x = 107,558,474.65/10,528.88
  6. Step 6: Final answer
    x = 10,215.57

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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.