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Finding the Fourth Proportional to 10,708.86, 14,782.87 and 8,056.94

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Solution

The fourth proportional to 10,708.86, 14,782.87 and 8,056.94 is: 11,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.86 : 14,782.87 = 8,056.94 : x
  2. Step 2: Convert to fraction form
    10,708.86/14,782.87 = 8,056.94/x
  3. Step 3: Cross multiply
    10,708.86x = 14,782.87 × 8,056.94
  4. Step 4: Simplify right side
    10,708.86x = 119,104,696.62
  5. Step 5: Solve for x
    x = 119,104,696.62/10,708.86
  6. Step 6: Final answer
    x = 11,122.07

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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.