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Finding the Fourth Proportional to 11,234.70, 16,856.10 and 4,665.60

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Solution

The fourth proportional to 11,234.70, 16,856.10 and 4,665.60 is: 7,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.70 : 16,856.10 = 4,665.60 : x
  2. Step 2: Convert to fraction form
    11,234.70/16,856.10 = 4,665.60/x
  3. Step 3: Cross multiply
    11,234.70x = 16,856.10 × 4,665.60
  4. Step 4: Simplify right side
    11,234.70x = 78,643,820.16
  5. Step 5: Solve for x
    x = 78,643,820.16/11,234.70
  6. Step 6: Final answer
    x = 7,000.08

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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.