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Finding the Fourth Proportional to 7,756.14, 10,704.10 and 4,353.08

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Solution

The fourth proportional to 7,756.14, 10,704.10 and 4,353.08 is: 6,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.14 : 10,704.10 = 4,353.08 : x
  2. Step 2: Convert to fraction form
    7,756.14/10,704.10 = 4,353.08/x
  3. Step 3: Cross multiply
    7,756.14x = 10,704.10 × 4,353.08
  4. Step 4: Simplify right side
    7,756.14x = 46,595,739.22
  5. Step 5: Solve for x
    x = 46,595,739.22/7,756.14
  6. Step 6: Final answer
    x = 6,007.59

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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.