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Finding the Fourth Proportional to 10,813.88, 14,931.60 and 8,462.72

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Solution

The fourth proportional to 10,813.88, 14,931.60 and 8,462.72 is: 11,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.88 : 14,931.60 = 8,462.72 : x
  2. Step 2: Convert to fraction form
    10,813.88/14,931.60 = 8,462.72/x
  3. Step 3: Cross multiply
    10,813.88x = 14,931.60 × 8,462.72
  4. Step 4: Simplify right side
    10,813.88x = 126,361,949.95
  5. Step 5: Solve for x
    x = 126,361,949.95/10,813.88
  6. Step 6: Final answer
    x = 11,685.16

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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.