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Finding the Fourth Proportional to 10,468.77, 14,446.74 and 5,993.64

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Solution

The fourth proportional to 10,468.77, 14,446.74 and 5,993.64 is: 8,271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.77 : 14,446.74 = 5,993.64 : x
  2. Step 2: Convert to fraction form
    10,468.77/14,446.74 = 5,993.64/x
  3. Step 3: Cross multiply
    10,468.77x = 14,446.74 × 5,993.64
  4. Step 4: Simplify right side
    10,468.77x = 86,588,558.73
  5. Step 5: Solve for x
    x = 86,588,558.73/10,468.77
  6. Step 6: Final answer
    x = 8,271.13

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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.