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Finding the Fourth Proportional to 10,625.63, 14,667.03 and 6,433.88

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Solution

The fourth proportional to 10,625.63, 14,667.03 and 6,433.88 is: 8,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.63 : 14,667.03 = 6,433.88 : x
  2. Step 2: Convert to fraction form
    10,625.63/14,667.03 = 6,433.88/x
  3. Step 3: Cross multiply
    10,625.63x = 14,667.03 × 6,433.88
  4. Step 4: Simplify right side
    10,625.63x = 94,365,837.64
  5. Step 5: Solve for x
    x = 94,365,837.64/10,625.63
  6. Step 6: Final answer
    x = 8,880.97

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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.