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Finding the Fourth Proportional to 8,532.99, 11,769.17 and 7,577.06

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Solution

The fourth proportional to 8,532.99, 11,769.17 and 7,577.06 is: 10,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.99 : 11,769.17 = 7,577.06 : x
  2. Step 2: Convert to fraction form
    8,532.99/11,769.17 = 7,577.06/x
  3. Step 3: Cross multiply
    8,532.99x = 11,769.17 × 7,577.06
  4. Step 4: Simplify right side
    8,532.99x = 89,175,610.51
  5. Step 5: Solve for x
    x = 89,175,610.51/8,532.99
  6. Step 6: Final answer
    x = 10,450.69

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Why These Related Problems?

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