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Finding the Fourth Proportional to 10,857.67, 14,967.25 and 8,495.71

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Solution

The fourth proportional to 10,857.67, 14,967.25 and 8,495.71 is: 11,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.67 : 14,967.25 = 8,495.71 : x
  2. Step 2: Convert to fraction form
    10,857.67/14,967.25 = 8,495.71/x
  3. Step 3: Cross multiply
    10,857.67x = 14,967.25 × 8,495.71
  4. Step 4: Simplify right side
    10,857.67x = 127,157,415.50
  5. Step 5: Solve for x
    x = 127,157,415.50/10,857.67
  6. Step 6: Final answer
    x = 11,711.30

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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.