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Finding the Fourth Proportional to 10,103.86, 15,156.06 and 5,486.86

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Solution

The fourth proportional to 10,103.86, 15,156.06 and 5,486.86 is: 8,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.86 : 15,156.06 = 5,486.86 : x
  2. Step 2: Convert to fraction form
    10,103.86/15,156.06 = 5,486.86/x
  3. Step 3: Cross multiply
    10,103.86x = 15,156.06 × 5,486.86
  4. Step 4: Simplify right side
    10,103.86x = 83,159,179.37
  5. Step 5: Solve for x
    x = 83,159,179.37/10,103.86
  6. Step 6: Final answer
    x = 8,230.44

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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.