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Finding the Fourth Proportional to 10,372.79, 14,314.50 and 5,656.97

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Solution

The fourth proportional to 10,372.79, 14,314.50 and 5,656.97 is: 7,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.79 : 14,314.50 = 5,656.97 : x
  2. Step 2: Convert to fraction form
    10,372.79/14,314.50 = 5,656.97/x
  3. Step 3: Cross multiply
    10,372.79x = 14,314.50 × 5,656.97
  4. Step 4: Simplify right side
    10,372.79x = 80,976,625.49
  5. Step 5: Solve for x
    x = 80,976,625.49/10,372.79
  6. Step 6: Final answer
    x = 7,806.64

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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.