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Finding the Fourth Proportional to 11,856.23, 16,359.23 and 7,140.82

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Solution

The fourth proportional to 11,856.23, 16,359.23 and 7,140.82 is: 9,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.23 : 16,359.23 = 7,140.82 : x
  2. Step 2: Convert to fraction form
    11,856.23/16,359.23 = 7,140.82/x
  3. Step 3: Cross multiply
    11,856.23x = 16,359.23 × 7,140.82
  4. Step 4: Simplify right side
    11,856.23x = 116,818,234.97
  5. Step 5: Solve for x
    x = 116,818,234.97/11,856.23
  6. Step 6: Final answer
    x = 9,852.90

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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.