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Finding the Fourth Proportional to 7,756.44, 11,636.28 and 4,057.98

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Solution

The fourth proportional to 7,756.44, 11,636.28 and 4,057.98 is: 6,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.44 : 11,636.28 = 4,057.98 : x
  2. Step 2: Convert to fraction form
    7,756.44/11,636.28 = 4,057.98/x
  3. Step 3: Cross multiply
    7,756.44x = 11,636.28 × 4,057.98
  4. Step 4: Simplify right side
    7,756.44x = 47,219,791.51
  5. Step 5: Solve for x
    x = 47,219,791.51/7,756.44
  6. Step 6: Final answer
    x = 6,087.82

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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.