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Finding the Fourth Proportional to 10,892.86, 16,339.89 and 3,101.06

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Solution

The fourth proportional to 10,892.86, 16,339.89 and 3,101.06 is: 4,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.86 : 16,339.89 = 3,101.06 : x
  2. Step 2: Convert to fraction form
    10,892.86/16,339.89 = 3,101.06/x
  3. Step 3: Cross multiply
    10,892.86x = 16,339.89 × 3,101.06
  4. Step 4: Simplify right side
    10,892.86x = 50,671,031.76
  5. Step 5: Solve for x
    x = 50,671,031.76/10,892.86
  6. Step 6: Final answer
    x = 4,651.77

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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.