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Finding the Fourth Proportional to 10,359.73, 14,296.50 and 5,644.01

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Solution

The fourth proportional to 10,359.73, 14,296.50 and 5,644.01 is: 7,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359.73 : 14,296.50 = 5,644.01 : x
  2. Step 2: Convert to fraction form
    10,359.73/14,296.50 = 5,644.01/x
  3. Step 3: Cross multiply
    10,359.73x = 14,296.50 × 5,644.01
  4. Step 4: Simplify right side
    10,359.73x = 80,689,588.97
  5. Step 5: Solve for x
    x = 80,689,588.97/10,359.73
  6. Step 6: Final answer
    x = 7,788.77

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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.