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Finding the Fourth Proportional to 10,719.64, 14,760.96 and 8,948.20

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Solution

The fourth proportional to 10,719.64, 14,760.96 and 8,948.20 is: 12,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719.64 : 14,760.96 = 8,948.20 : x
  2. Step 2: Convert to fraction form
    10,719.64/14,760.96 = 8,948.20/x
  3. Step 3: Cross multiply
    10,719.64x = 14,760.96 × 8,948.20
  4. Step 4: Simplify right side
    10,719.64x = 132,084,022.27
  5. Step 5: Solve for x
    x = 132,084,022.27/10,719.64
  6. Step 6: Final answer
    x = 12,321.68

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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.