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Finding the Fourth Proportional to 12,256.88, 16,905.33 and 7,781.94

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Solution

The fourth proportional to 12,256.88, 16,905.33 and 7,781.94 is: 10,733.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.88 : 16,905.33 = 7,781.94 : x
  2. Step 2: Convert to fraction form
    12,256.88/16,905.33 = 7,781.94/x
  3. Step 3: Cross multiply
    12,256.88x = 16,905.33 × 7,781.94
  4. Step 4: Simplify right side
    12,256.88x = 131,556,263.74
  5. Step 5: Solve for x
    x = 131,556,263.74/12,256.88
  6. Step 6: Final answer
    x = 10,733.26

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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.