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Finding the Fourth Proportional to 8,526.72, 11,769.12 and 5,738.16

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Solution

The fourth proportional to 8,526.72, 11,769.12 and 5,738.16 is: 7,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.72 : 11,769.12 = 5,738.16 : x
  2. Step 2: Convert to fraction form
    8,526.72/11,769.12 = 5,738.16/x
  3. Step 3: Cross multiply
    8,526.72x = 11,769.12 × 5,738.16
  4. Step 4: Simplify right side
    8,526.72x = 67,533,093.62
  5. Step 5: Solve for x
    x = 67,533,093.62/8,526.72
  6. Step 6: Final answer
    x = 7,920.17

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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.