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Finding the Fourth Proportional to 10,766.94, 14,858.24 and 6,291.37

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Solution

The fourth proportional to 10,766.94, 14,858.24 and 6,291.37 is: 8,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.94 : 14,858.24 = 6,291.37 : x
  2. Step 2: Convert to fraction form
    10,766.94/14,858.24 = 6,291.37/x
  3. Step 3: Cross multiply
    10,766.94x = 14,858.24 × 6,291.37
  4. Step 4: Simplify right side
    10,766.94x = 93,478,685.39
  5. Step 5: Solve for x
    x = 93,478,685.39/10,766.94
  6. Step 6: Final answer
    x = 8,682.01

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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.