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Finding the Fourth Proportional to 7,699.44, 10,628.76 and 5,046.96

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Solution

The fourth proportional to 7,699.44, 10,628.76 and 5,046.96 is: 6,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.44 : 10,628.76 = 5,046.96 : x
  2. Step 2: Convert to fraction form
    7,699.44/10,628.76 = 5,046.96/x
  3. Step 3: Cross multiply
    7,699.44x = 10,628.76 × 5,046.96
  4. Step 4: Simplify right side
    7,699.44x = 53,642,926.57
  5. Step 5: Solve for x
    x = 53,642,926.57/7,699.44
  6. Step 6: Final answer
    x = 6,967.12

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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.