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Finding the Fourth Proportional to 10,372.63, 14,314.25 and 5,656.91

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Solution

The fourth proportional to 10,372.63, 14,314.25 and 5,656.91 is: 7,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.63 : 14,314.25 = 5,656.91 : x
  2. Step 2: Convert to fraction form
    10,372.63/14,314.25 = 5,656.91/x
  3. Step 3: Cross multiply
    10,372.63x = 14,314.25 × 5,656.91
  4. Step 4: Simplify right side
    10,372.63x = 80,974,455.49
  5. Step 5: Solve for x
    x = 80,974,455.49/10,372.63
  6. Step 6: Final answer
    x = 7,806.55

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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.