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Finding the Fourth Proportional to 10,660.71, 14,711.64 and 6,185.22

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Solution

The fourth proportional to 10,660.71, 14,711.64 and 6,185.22 is: 8,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.71 : 14,711.64 = 6,185.22 : x
  2. Step 2: Convert to fraction form
    10,660.71/14,711.64 = 6,185.22/x
  3. Step 3: Cross multiply
    10,660.71x = 14,711.64 × 6,185.22
  4. Step 4: Simplify right side
    10,660.71x = 90,994,729.96
  5. Step 5: Solve for x
    x = 90,994,729.96/10,660.71
  6. Step 6: Final answer
    x = 8,535.52

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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.