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Finding the Fourth Proportional to 10,766.39, 14,857.63 and 6,050.68

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Solution

The fourth proportional to 10,766.39, 14,857.63 and 6,050.68 is: 8,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.39 : 14,857.63 = 6,050.68 : x
  2. Step 2: Convert to fraction form
    10,766.39/14,857.63 = 6,050.68/x
  3. Step 3: Cross multiply
    10,766.39x = 14,857.63 × 6,050.68
  4. Step 4: Simplify right side
    10,766.39x = 89,898,712.42
  5. Step 5: Solve for x
    x = 89,898,712.42/10,766.39
  6. Step 6: Final answer
    x = 8,349.94

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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.