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Finding the Fourth Proportional to 10,505.31, 14,497.43 and 5,789.76

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Solution

The fourth proportional to 10,505.31, 14,497.43 and 5,789.76 is: 7,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.31 : 14,497.43 = 5,789.76 : x
  2. Step 2: Convert to fraction form
    10,505.31/14,497.43 = 5,789.76/x
  3. Step 3: Cross multiply
    10,505.31x = 14,497.43 × 5,789.76
  4. Step 4: Simplify right side
    10,505.31x = 83,936,611.37
  5. Step 5: Solve for x
    x = 83,936,611.37/10,505.31
  6. Step 6: Final answer
    x = 7,989.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.