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Finding the Fourth Proportional to 10,766.66, 14,862.55 and 10,094.09

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Solution

The fourth proportional to 10,766.66, 14,862.55 and 10,094.09 is: 13,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.66 : 14,862.55 = 10,094.09 : x
  2. Step 2: Convert to fraction form
    10,766.66/14,862.55 = 10,094.09/x
  3. Step 3: Cross multiply
    10,766.66x = 14,862.55 × 10,094.09
  4. Step 4: Simplify right side
    10,766.66x = 150,023,917.33
  5. Step 5: Solve for x
    x = 150,023,917.33/10,766.66
  6. Step 6: Final answer
    x = 13,934.12

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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.