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Finding the Fourth Proportional to 10,399.84, 14,351.84 and 5,684.23

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Solution

The fourth proportional to 10,399.84, 14,351.84 and 5,684.23 is: 7,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.84 : 14,351.84 = 5,684.23 : x
  2. Step 2: Convert to fraction form
    10,399.84/14,351.84 = 5,684.23/x
  3. Step 3: Cross multiply
    10,399.84x = 14,351.84 × 5,684.23
  4. Step 4: Simplify right side
    10,399.84x = 81,579,159.48
  5. Step 5: Solve for x
    x = 81,579,159.48/10,399.84
  6. Step 6: Final answer
    x = 7,844.27

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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.