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Finding the Fourth Proportional to 7,677.16, 11,523.76 and 6,805.24

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Solution

The fourth proportional to 7,677.16, 11,523.76 and 6,805.24 is: 10,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.16 : 11,523.76 = 6,805.24 : x
  2. Step 2: Convert to fraction form
    7,677.16/11,523.76 = 6,805.24/x
  3. Step 3: Cross multiply
    7,677.16x = 11,523.76 × 6,805.24
  4. Step 4: Simplify right side
    7,677.16x = 78,421,952.50
  5. Step 5: Solve for x
    x = 78,421,952.50/7,677.16
  6. Step 6: Final answer
    x = 10,214.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.