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Finding the Fourth Proportional to 10,714.26, 16,065.63 and 7,799.70

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Solution

The fourth proportional to 10,714.26, 16,065.63 and 7,799.70 is: 11,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.26 : 16,065.63 = 7,799.70 : x
  2. Step 2: Convert to fraction form
    10,714.26/16,065.63 = 7,799.70/x
  3. Step 3: Cross multiply
    10,714.26x = 16,065.63 × 7,799.70
  4. Step 4: Simplify right side
    10,714.26x = 125,307,094.31
  5. Step 5: Solve for x
    x = 125,307,094.31/10,714.26
  6. Step 6: Final answer
    x = 11,695.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.