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Finding the Fourth Proportional to 10,156.86, 15,227.73 and 6,860.70

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Solution

The fourth proportional to 10,156.86, 15,227.73 and 6,860.70 is: 10,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.86 : 15,227.73 = 6,860.70 : x
  2. Step 2: Convert to fraction form
    10,156.86/15,227.73 = 6,860.70/x
  3. Step 3: Cross multiply
    10,156.86x = 15,227.73 × 6,860.70
  4. Step 4: Simplify right side
    10,156.86x = 104,472,887.21
  5. Step 5: Solve for x
    x = 104,472,887.21/10,156.86
  6. Step 6: Final answer
    x = 10,285.94

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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.