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Finding the Fourth Proportional to 7,776.08, 11,665.50 and 3,096.14

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Solution

The fourth proportional to 7,776.08, 11,665.50 and 3,096.14 is: 4,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.08 : 11,665.50 = 3,096.14 : x
  2. Step 2: Convert to fraction form
    7,776.08/11,665.50 = 3,096.14/x
  3. Step 3: Cross multiply
    7,776.08x = 11,665.50 × 3,096.14
  4. Step 4: Simplify right side
    7,776.08x = 36,118,021.17
  5. Step 5: Solve for x
    x = 36,118,021.17/7,776.08
  6. Step 6: Final answer
    x = 4,644.76

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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.