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Finding the Fourth Proportional to 11,856.76, 16,362.46 and 7,672.30

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Solution

The fourth proportional to 11,856.76, 16,362.46 and 7,672.30 is: 10,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.76 : 16,362.46 = 7,672.30 : x
  2. Step 2: Convert to fraction form
    11,856.76/16,362.46 = 7,672.30/x
  3. Step 3: Cross multiply
    11,856.76x = 16,362.46 × 7,672.30
  4. Step 4: Simplify right side
    11,856.76x = 125,537,701.86
  5. Step 5: Solve for x
    x = 125,537,701.86/11,856.76
  6. Step 6: Final answer
    x = 10,587.86

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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.