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Finding the Fourth Proportional to 10,468.84, 14,448.36 and 5,993.32

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Solution

The fourth proportional to 10,468.84, 14,448.36 and 5,993.32 is: 8,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.84 : 14,448.36 = 5,993.32 : x
  2. Step 2: Convert to fraction form
    10,468.84/14,448.36 = 5,993.32/x
  3. Step 3: Cross multiply
    10,468.84x = 14,448.36 × 5,993.32
  4. Step 4: Simplify right side
    10,468.84x = 86,593,644.96
  5. Step 5: Solve for x
    x = 86,593,644.96/10,468.84
  6. Step 6: Final answer
    x = 8,271.56

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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.