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Finding the Fourth Proportional to 7,773.31, 11,665.43 and 5,310.51

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Solution

The fourth proportional to 7,773.31, 11,665.43 and 5,310.51 is: 7,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.31 : 11,665.43 = 5,310.51 : x
  2. Step 2: Convert to fraction form
    7,773.31/11,665.43 = 5,310.51/x
  3. Step 3: Cross multiply
    7,773.31x = 11,665.43 × 5,310.51
  4. Step 4: Simplify right side
    7,773.31x = 61,949,382.67
  5. Step 5: Solve for x
    x = 61,949,382.67/7,773.31
  6. Step 6: Final answer
    x = 7,969.50

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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.