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Finding the Fourth Proportional to 10,505.01, 14,496.87 and 5,789.28

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Solution

The fourth proportional to 10,505.01, 14,496.87 and 5,789.28 is: 7,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.01 : 14,496.87 = 5,789.28 : x
  2. Step 2: Convert to fraction form
    10,505.01/14,496.87 = 5,789.28/x
  3. Step 3: Cross multiply
    10,505.01x = 14,496.87 × 5,789.28
  4. Step 4: Simplify right side
    10,505.01x = 83,926,475.80
  5. Step 5: Solve for x
    x = 83,926,475.80/10,505.01
  6. Step 6: Final answer
    x = 7,989.18

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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.