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Finding the Fourth Proportional to 10,365.63, 14,304.86 and 5,650.22

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Solution

The fourth proportional to 10,365.63, 14,304.86 and 5,650.22 is: 7,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.63 : 14,304.86 = 5,650.22 : x
  2. Step 2: Convert to fraction form
    10,365.63/14,304.86 = 5,650.22/x
  3. Step 3: Cross multiply
    10,365.63x = 14,304.86 × 5,650.22
  4. Step 4: Simplify right side
    10,365.63x = 80,825,506.29
  5. Step 5: Solve for x
    x = 80,825,506.29/10,365.63
  6. Step 6: Final answer
    x = 7,797.45

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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.