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Finding the Fourth Proportional to 10,857.33, 16,282.54 and 3,460.06

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Solution

The fourth proportional to 10,857.33, 16,282.54 and 3,460.06 is: 5,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.33 : 16,282.54 = 3,460.06 : x
  2. Step 2: Convert to fraction form
    10,857.33/16,282.54 = 3,460.06/x
  3. Step 3: Cross multiply
    10,857.33x = 16,282.54 × 3,460.06
  4. Step 4: Simplify right side
    10,857.33x = 56,338,566.42
  5. Step 5: Solve for x
    x = 56,338,566.42/10,857.33
  6. Step 6: Final answer
    x = 5,188.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.