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Finding the Fourth Proportional to 10,953.81, 16,420.98 and 8,177.13

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Solution

The fourth proportional to 10,953.81, 16,420.98 and 8,177.13 is: 12,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.81 : 16,420.98 = 8,177.13 : x
  2. Step 2: Convert to fraction form
    10,953.81/16,420.98 = 8,177.13/x
  3. Step 3: Cross multiply
    10,953.81x = 16,420.98 × 8,177.13
  4. Step 4: Simplify right side
    10,953.81x = 134,276,488.19
  5. Step 5: Solve for x
    x = 134,276,488.19/10,953.81
  6. Step 6: Final answer
    x = 12,258.43

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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.