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Finding the Fourth Proportional to 7,767.16, 11,655.50 and 3,086.32

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Solution

The fourth proportional to 7,767.16, 11,655.50 and 3,086.32 is: 4,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.16 : 11,655.50 = 3,086.32 : x
  2. Step 2: Convert to fraction form
    7,767.16/11,655.50 = 3,086.32/x
  3. Step 3: Cross multiply
    7,767.16x = 11,655.50 × 3,086.32
  4. Step 4: Simplify right side
    7,767.16x = 35,972,602.76
  5. Step 5: Solve for x
    x = 35,972,602.76/7,767.16
  6. Step 6: Final answer
    x = 4,631.37

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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.