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Finding the Fourth Proportional to 11,710.89, 16,160.81 and 6,405.69

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Solution

The fourth proportional to 11,710.89, 16,160.81 and 6,405.69 is: 8,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.89 : 16,160.81 = 6,405.69 : x
  2. Step 2: Convert to fraction form
    11,710.89/16,160.81 = 6,405.69/x
  3. Step 3: Cross multiply
    11,710.89x = 16,160.81 × 6,405.69
  4. Step 4: Simplify right side
    11,710.89x = 103,521,106.98
  5. Step 5: Solve for x
    x = 103,521,106.98/11,710.89
  6. Step 6: Final answer
    x = 8,839.73

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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.