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Finding the Fourth Proportional to 10,509.97, 14,504.30 and 5,794.24

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Solution

The fourth proportional to 10,509.97, 14,504.30 and 5,794.24 is: 7,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.97 : 14,504.30 = 5,794.24 : x
  2. Step 2: Convert to fraction form
    10,509.97/14,504.30 = 5,794.24/x
  3. Step 3: Cross multiply
    10,509.97x = 14,504.30 × 5,794.24
  4. Step 4: Simplify right side
    10,509.97x = 84,041,395.23
  5. Step 5: Solve for x
    x = 84,041,395.23/10,509.97
  6. Step 6: Final answer
    x = 7,996.35

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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.