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Finding the Fourth Proportional to 10,611.54, 14,646.56 and 6,137.88

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Solution

The fourth proportional to 10,611.54, 14,646.56 and 6,137.88 is: 8,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.54 : 14,646.56 = 6,137.88 : x
  2. Step 2: Convert to fraction form
    10,611.54/14,646.56 = 6,137.88/x
  3. Step 3: Cross multiply
    10,611.54x = 14,646.56 × 6,137.88
  4. Step 4: Simplify right side
    10,611.54x = 89,898,797.00
  5. Step 5: Solve for x
    x = 89,898,797.00/10,611.54
  6. Step 6: Final answer
    x = 8,471.80

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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.