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Finding the Fourth Proportional to 10,468.14, 14,446.83 and 5,993.29

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Solution

The fourth proportional to 10,468.14, 14,446.83 and 5,993.29 is: 8,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.14 : 14,446.83 = 5,993.29 : x
  2. Step 2: Convert to fraction form
    10,468.14/14,446.83 = 5,993.29/x
  3. Step 3: Cross multiply
    10,468.14x = 14,446.83 × 5,993.29
  4. Step 4: Simplify right side
    10,468.14x = 86,584,041.77
  5. Step 5: Solve for x
    x = 86,584,041.77/10,468.14
  6. Step 6: Final answer
    x = 8,271.20

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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.