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Finding the Fourth Proportional to 10,256.90, 14,153.74 and 6,713.96

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Solution

The fourth proportional to 10,256.90, 14,153.74 and 6,713.96 is: 9,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.90 : 14,153.74 = 6,713.96 : x
  2. Step 2: Convert to fraction form
    10,256.90/14,153.74 = 6,713.96/x
  3. Step 3: Cross multiply
    10,256.90x = 14,153.74 × 6,713.96
  4. Step 4: Simplify right side
    10,256.90x = 95,027,556.66
  5. Step 5: Solve for x
    x = 95,027,556.66/10,256.90
  6. Step 6: Final answer
    x = 9,264.75

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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.