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Finding the Fourth Proportional to 10,505.53, 14,497.68 and 5,789.81

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Solution

The fourth proportional to 10,505.53, 14,497.68 and 5,789.81 is: 7,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.53 : 14,497.68 = 5,789.81 : x
  2. Step 2: Convert to fraction form
    10,505.53/14,497.68 = 5,789.81/x
  3. Step 3: Cross multiply
    10,505.53x = 14,497.68 × 5,789.81
  4. Step 4: Simplify right side
    10,505.53x = 83,938,870.60
  5. Step 5: Solve for x
    x = 83,938,870.60/10,505.53
  6. Step 6: Final answer
    x = 7,989.97

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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.