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Finding the Fourth Proportional to 10,365.95, 14,305.01 and 5,650.23

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Solution

The fourth proportional to 10,365.95, 14,305.01 and 5,650.23 is: 7,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.95 : 14,305.01 = 5,650.23 : x
  2. Step 2: Convert to fraction form
    10,365.95/14,305.01 = 5,650.23/x
  3. Step 3: Cross multiply
    10,365.95x = 14,305.01 × 5,650.23
  4. Step 4: Simplify right side
    10,365.95x = 80,826,568.40
  5. Step 5: Solve for x
    x = 80,826,568.40/10,365.95
  6. Step 6: Final answer
    x = 7,797.32

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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.