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Finding the Fourth Proportional to 10,369.33, 14,309.28 and 5,653.51

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Solution

The fourth proportional to 10,369.33, 14,309.28 and 5,653.51 is: 7,801.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.33 : 14,309.28 = 5,653.51 : x
  2. Step 2: Convert to fraction form
    10,369.33/14,309.28 = 5,653.51/x
  3. Step 3: Cross multiply
    10,369.33x = 14,309.28 × 5,653.51
  4. Step 4: Simplify right side
    10,369.33x = 80,897,621.80
  5. Step 5: Solve for x
    x = 80,897,621.80/10,369.33
  6. Step 6: Final answer
    x = 7,801.63

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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.