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Finding the Fourth Proportional to 10,518.64, 14,516.76 and 7,861.44

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Solution

The fourth proportional to 10,518.64, 14,516.76 and 7,861.44 is: 10,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.64 : 14,516.76 = 7,861.44 : x
  2. Step 2: Convert to fraction form
    10,518.64/14,516.76 = 7,861.44/x
  3. Step 3: Cross multiply
    10,518.64x = 14,516.76 × 7,861.44
  4. Step 4: Simplify right side
    10,518.64x = 114,122,637.73
  5. Step 5: Solve for x
    x = 114,122,637.73/10,518.64
  6. Step 6: Final answer
    x = 10,849.56

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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.