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Finding the Fourth Proportional to 10,395.46, 14,345.86 and 5,919.21

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Solution

The fourth proportional to 10,395.46, 14,345.86 and 5,919.21 is: 8,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.46 : 14,345.86 = 5,919.21 : x
  2. Step 2: Convert to fraction form
    10,395.46/14,345.86 = 5,919.21/x
  3. Step 3: Cross multiply
    10,395.46x = 14,345.86 × 5,919.21
  4. Step 4: Simplify right side
    10,395.46x = 84,916,157.97
  5. Step 5: Solve for x
    x = 84,916,157.97/10,395.46
  6. Step 6: Final answer
    x = 8,168.58

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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.