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Finding the Fourth Proportional to 10,262.12, 14,152.26 and 7,616.12

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Solution

The fourth proportional to 10,262.12, 14,152.26 and 7,616.12 is: 10,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.12 : 14,152.26 = 7,616.12 : x
  2. Step 2: Convert to fraction form
    10,262.12/14,152.26 = 7,616.12/x
  3. Step 3: Cross multiply
    10,262.12x = 14,152.26 × 7,616.12
  4. Step 4: Simplify right side
    10,262.12x = 107,785,310.43
  5. Step 5: Solve for x
    x = 107,785,310.43/10,262.12
  6. Step 6: Final answer
    x = 10,503.22

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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.