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Finding the Fourth Proportional to 11,234.76, 15,500.34 and 6,454.14

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Solution

The fourth proportional to 11,234.76, 15,500.34 and 6,454.14 is: 8,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.76 : 15,500.34 = 6,454.14 : x
  2. Step 2: Convert to fraction form
    11,234.76/15,500.34 = 6,454.14/x
  3. Step 3: Cross multiply
    11,234.76x = 15,500.34 × 6,454.14
  4. Step 4: Simplify right side
    11,234.76x = 100,041,364.41
  5. Step 5: Solve for x
    x = 100,041,364.41/11,234.76
  6. Step 6: Final answer
    x = 8,904.63

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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.