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Finding the Fourth Proportional to 10,394.05, 14,343.79 and 5,614.00

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Solution

The fourth proportional to 10,394.05, 14,343.79 and 5,614.00 is: 7,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.05 : 14,343.79 = 5,614.00 : x
  2. Step 2: Convert to fraction form
    10,394.05/14,343.79 = 5,614.00/x
  3. Step 3: Cross multiply
    10,394.05x = 14,343.79 × 5,614.00
  4. Step 4: Simplify right side
    10,394.05x = 80,525,987.17
  5. Step 5: Solve for x
    x = 80,525,987.17/10,394.05
  6. Step 6: Final answer
    x = 7,747.32

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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.