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Finding the Fourth Proportional to 10,714.24, 14,782.80 and 6,938.56

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Solution

The fourth proportional to 10,714.24, 14,782.80 and 6,938.56 is: 9,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.24 : 14,782.80 = 6,938.56 : x
  2. Step 2: Convert to fraction form
    10,714.24/14,782.80 = 6,938.56/x
  3. Step 3: Cross multiply
    10,714.24x = 14,782.80 × 6,938.56
  4. Step 4: Simplify right side
    10,714.24x = 102,571,344.77
  5. Step 5: Solve for x
    x = 102,571,344.77/10,714.24
  6. Step 6: Final answer
    x = 9,573.37

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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.