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Finding the Fourth Proportional to 11,493.34, 15,861.60 and 7,722.82

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Solution

The fourth proportional to 11,493.34, 15,861.60 and 7,722.82 is: 10,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.34 : 15,861.60 = 7,722.82 : x
  2. Step 2: Convert to fraction form
    11,493.34/15,861.60 = 7,722.82/x
  3. Step 3: Cross multiply
    11,493.34x = 15,861.60 × 7,722.82
  4. Step 4: Simplify right side
    11,493.34x = 122,496,281.71
  5. Step 5: Solve for x
    x = 122,496,281.71/11,493.34
  6. Step 6: Final answer
    x = 10,658.02

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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.