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Finding the Fourth Proportional to 10,857.42, 14,966.91 and 8,495.46

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Solution

The fourth proportional to 10,857.42, 14,966.91 and 8,495.46 is: 11,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.42 : 14,966.91 = 8,495.46 : x
  2. Step 2: Convert to fraction form
    10,857.42/14,966.91 = 8,495.46/x
  3. Step 3: Cross multiply
    10,857.42x = 14,966.91 × 8,495.46
  4. Step 4: Simplify right side
    10,857.42x = 127,150,785.23
  5. Step 5: Solve for x
    x = 127,150,785.23/10,857.42
  6. Step 6: Final answer
    x = 11,710.96

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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.