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Finding the Fourth Proportional to 10,399.46, 14,349.59 and 5,923.29

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Solution

The fourth proportional to 10,399.46, 14,349.59 and 5,923.29 is: 8,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.46 : 14,349.59 = 5,923.29 : x
  2. Step 2: Convert to fraction form
    10,399.46/14,349.59 = 5,923.29/x
  3. Step 3: Cross multiply
    10,399.46x = 14,349.59 × 5,923.29
  4. Step 4: Simplify right side
    10,399.46x = 84,996,829.36
  5. Step 5: Solve for x
    x = 84,996,829.36/10,399.46
  6. Step 6: Final answer
    x = 8,173.20

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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.